{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Impute missing data using forward and backward filling\n",
    "\n",
    "[Feature Engineering for Time Series Forecasting](https://www.trainindata.com/p/feature-engineering-for-forecasting)\n",
    "\n",
    "This notebook shows how we can use the forward and backward filling methods to fill missing data for a time series.\n",
    "\n",
    "We will work with a monthly retail sales dataset (found [here](https://raw.githubusercontent.com/facebook/prophet/master/examples/example_retail_sales.csv)).\n",
    "\n",
    "For instructions on how to download, prepare, and store the dataset, refer to notebook number 1, in the folder \"01-Create-Datasets\" from this repo.\n",
    "\n",
    "## Data Set Synopsis\n",
    "\n",
    "The timeseries is between January 1992 and Apr 2005.\n",
    "\n",
    "It consists of a single series of monthly values representing sales volumes. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import seaborn as sns\n",
    "\n",
    "sns.set_context(\"talk\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Load dataset"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = pd.read_csv(\n",
    "    \"../Datasets/example_retail_sales_with_missing_data.csv\",\n",
    "    parse_dates=[\"ds\"],\n",
    "    index_col=[\"ds\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>y</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>ds</th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1992-01-01</th>\n",
       "      <td>146376.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-02-01</th>\n",
       "      <td>147079.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-03-01</th>\n",
       "      <td>159336.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-04-01</th>\n",
       "      <td>163669.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1992-05-01</th>\n",
       "      <td>170068.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                   y\n",
       "ds                  \n",
       "1992-01-01  146376.0\n",
       "1992-02-01  147079.0\n",
       "1992-03-01  159336.0\n",
       "1992-04-01  163669.0\n",
       "1992-05-01  170068.0"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Check for missing data"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We check for missing data in the target and quantify how many missing values there are."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Number of datapoints missing: 33\n",
      "Proportion of dataset missing: 20.62%\n"
     ]
    }
   ],
   "source": [
    "n_missing = df[\"y\"].isnull().sum()\n",
    "\n",
    "print(f\"Number of datapoints missing: {n_missing}\")\n",
    "print(f\"Proportion of dataset missing: {n_missing/len(df):.2%}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We plot the time series to see where the data is missing."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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SSikF2Mzp5zq7GEumGRxNEk+kWb2ma8YzqRqgKqWUUkopALr7RhAka1t1JEJ338iMnocGqEoppZRSCoCO1jpSxmRtS6TTdLTWzeh5aICqlFJKKaUAaG+KccL+8wEQIFYd4bJzV9LeFJvR89AiKaWUUkop5VnYVAtAY6yKP3/6dTMenIJmUJVSSimllM/AaBKAZMpUJDgFDVCVUkoppZTPYDwBQDyZwuTMR50pGqAqpZRSSinPoJNBNQbGUumKnIMGqEoppZRSyjMYT3rfx8c0QFVKKaWUUhXmzkEFO8xfCRqgKqWUUkopAIwx3hA/QDyhAapSSimllKqg4bEU/rqoEQ1QlVJKKaVUJfmzpwDxhM5BVUoppZRSFTQ+QNUMqlJKKaWUqiB/BT9ogKqUUkoppSpMM6hKKaWUUipUBsZlUHUOqlJKKaWUqiDNoCqllFJKqVAZjCey7mubKaWUUkopVVHaZkoppZRSSoXKgA7xK6WUUkqpMNE2U0oppZRSKlS0SEoppZRSSoXK+AyqzkFVSimllFIVlDsHVav4lVJKKaVURekcVKWUUkopFSpDYzZAnVdfDUA8qUP8SimllFKqgtwMaltjLQDxMc2gKqWUUkrNab0DcdZu3k3vQLzSpxLInYO60A1Qk5UJUKsq8qpKKaWUUvuYznU9rF7TRXUkQiKd5rJzV7Lq+GWVPi3PaDLFmDOk39bkBKg6B1UppZRSam7qHYjzuZu6iCfSDIwmiSfSrF7TFapM6tBoJhhta6wBtIpfKaWUUmrO6u4bwWCytlVHInT3jVTojMbzV/Av9DKoWiSllFJKKTUndbTWkUpnB6iJdJqO1roKndF4A6MJ73uvSEozqEoppZRSc1N7U4xD2xsBiAjEqiNcdu5K2ptiFT6zDH8G1R3i3+cCVBE5UUTWiMhmERkRkW0icpuInJqz310iYgK+rgs4Zq2IXCEiW5xjPiQir8/z+qeKyH0iMuy89rdEpH4mjqmUUkqpfU9dja1N75hfzz0XnRWqAimAQaeCP1YdocE510TKjMv8zoRKVvEf7Lz+j4CtwDzgQ8A9IvIWY8yffPu+DHw+5/mbAo55DfAe4JvAC8CFwK0i8jpjzIPuTiJyLPBn4EngX4FlwGeAg4B3zMAxlVJKKbWPGYjbIfQ0JlSZU5cboDbWVlNXE/W2xxMpGmpnNmSsWIBqjLkeuN6/TUS+B7wEfBLwB6i7jTE/L3Q8ETkJ+ADwKWPMN51t1wIbgCuAM3y7XwbsAs40xgw6+24CfiQiZxtj7ijXMZVSSim1b+p3htBHKtT8fiIDzvk1xaqIVWcC1JEKBKihmoNqjBkGdmCzqVlEpEpEGgs8/b1AArjKd7w48GPgdBFZ4hynGXgDcK0bSDquBQaB95f5mEoppZTaB/WP2Ayqv51TmGQyqFXEqrIzqDOt4gGqiDSJSJuIHC4ilwFHY4fK/VYAQ8CAMxd0tYjknvtxwDM5ASLAI4AAxzr3V2Izx4/6dzLGjAGPO8cp5zGziMieQl9AS77nKqWUUmp2GE2mGHWa4I8kUqQrMK9zIm6RVGNtFbGaTJhViVZTYVhJ6ifYOZ4AY8D3scPlrheBO4AuoBn4IPBVYH/gH3z7LQFeCTj+Vud2qW8///bcfU8p8zGVUkoptY8Z8FXIQ2WGzSfiZVBzhvgrkUENw5X5N+AH2KKi84BaoBoYBTDGfDhn/5+KyK+Aj4rIN4wxzzrb69zn5Ij7Hvff5tvX35CsHMfMYoyZl+8xsBlWNIuqlFJKzWq5AerwWHgD1CYd4gdjTJcx5k/GmJ8AbwJOwFbOF/J17BD7Wb5tI9jgNlfM97j/Nt++/iUdynFMpZRSSu1j3PmnruGxZJ49K8cb4o9VUR0VohEBKjPEX/EA1c8YkwBuAVaJSKGlFbqd21bftq1khtr93G1bfPtRYN8tvvvlOKZSSiml9jFBGdSw8RdJiQixKhsmjuyLGdQAddjsaFOBfQ5ybnf4tj0OHBFQ6X+yc/uEc7sBSAIn+ncSkRps0dPjZT6mUkoppfYx/fHwZ1AHfHNQAW8e6j41xC8iCwO2NQPvA7qNMb0i0iwitTn7RIHVQBq43ffQjdi5qx/x7VsL/C1wvzFmC4AxZq/zvPNyAs/zgEbghjIfUymllFL7mIFxAWoIM6jOOTbVVj5AreTs3OtFJA48AGwDOrCB3zJsc3yA44FfiMgvsas4NWJ7ip4IXGGM2egezBjzsIjcAFzp9Cd9EbgAWI5d/cnv887r3iUiVzmv+WngVmPM7eU8plJKKaX2Pf0j2RnTMPZCHRyXQbV5zH0tQP05cD7wCWA+sAd4CDjPGHO3s89m4H5sG6pF2KzpBuBCY8xPA455PvAfzu18YD3wVmPM/f6djDHrROQc7GpQ3wD6sUuuXjJDx1RKKaXUPiQ3gzqSCN8Qf6YPajXgz6DuQ31QjTFXA1dPsM9G7JB/sceMA591viba9z7gtEocUymllFL7lv54uDOoqbRhyJl20FBrA9O6Iob4ewfidPeN0NFaR3tTLO9+pQpXAy6llFJKqTkot0hqJGRzUId8RVtNORnUfFX8net6WL2mi+pIhEQ6zWXnrpy289EAVSmllFKzWrmyeNNp3BzUkFXxD/oyvOPnoI4f4u8diLN6TRfxRJo49vHVa7qYrgVcNUBVSiml1KwVlMVbdfyySp/WOGHPoLoFUmD7oIJvDmpy/Ll2941QHYl4wSlARIR0enpC1DD2QVVKKaWUmpA/izcwmiSeSLN6TRe9A/GJnzzDchv1hy2D6j+/ptw+qAHBdEdrHWOp7Mzq8FjKZlAlEh33hBJpgKqUUkqpWcnN4vlVRyJ094VvhXF3qVNn9dDQ9UF1M6hVEaHWWUHKG+IPyKC2N8X47JsOH7d9eCyF1MRyFzgqmQaoSimllJqVOlrrSKSzs3iJdJqO1kKrpVeG22aqrdGuPzQcsir+IV8PVBEbRddN0Gbq5AMXeN//1/uO8T0iUz4fDVCVUkopNSu1N8W47NyVXjgUEbjs3JWhK5RKp423jOjiFntuwxVofl9IpgdqpjzJq+LPk+3tGx4DbNb1wAUN1NdMeWTfowGqUkoppWatVccv8/p2nnTgglAWSA2NJTFO7dCiZidAHQ3ZHNTR/AFq0BA/wO4hG6DOb6ihY0E9aTNdNfwaoCqllFJqFkum0gw6w+WJ1MyveFQMf5P+xW6AGrY5qM45ugVSgDcXNd8Qf58ToLbW1+Rks6ceqGqAqpRSSqlZa+9Ipn3TUMiyki7/MqfeEH/IqvgHR+05+jOodTWFV5LaPexmUG1j/1XHL6MxVoUZiw9O9Xw0QFVKKaXUrLXHH6CGLOhz+Zv0tzc5RVJTyKD2DsRZu3n3tLbTGvSKpKq9bbGqwgGql0FtqPG2CYBJTzk9rI36lVJKKTVr7XGyeBC+9e1dbga1rjpKS50NACcboE60MMFkV9Ua8IqkMoVO3hzUPAHqnmH7vubX1wQ+PhUaoCqllFIq0GxYQnT3UCaDOhjSIX53FammWBUNzhD68FgSY4zX0qkYvQNxVnd2EU9mLy96+qFttDfF6FzXw8U3rSfiHPPyVSs5/dC2on6GgwFFUnU1dqB9ZIIMqgaoSimllJoRs2UJ0d2+DOpYMk0ilaY6Gq4ZjG52srmu2pvXmTYwmkx7WcpidPeNEIlkB7T+hQku6ewikTK4RUqf/tUTVFdFqI1O/DPMtJkKGuJPBwbTmTmo0x+ghusnqJRSSqmKm01LiLrDzK6wNcCHzCpSTbEqGmoyucFSh/k7WusYS2ZX1I+l7MIE3X0jpNPZ1fMGG7QX8zP0T5Vw1fqC59Hk+Er+zBzU6nGPTZUGqEoppZTKMpuWEN2dE1gNhrBQym0z1RyrzmpmX2rXgfamGCuWNGVte8vRi2lvilEVgUS6cHunfD/DznU9vLBjCIDv3Pk8net6gMxKUjB+HqoxJpNBLcMQvwaoSimllMoym5YQ3Z2TQQ1jq6kB3xxUf4Cab25nPqm04WUnwJxfb7OWf9m0m0QqzQ1re7z9GmurqK0SojnTAYJ+hm623NsnZbxMa6w6Eybm9kIdHE060wmyq/iniwaoSimllMrS3hTjK+862rsfjUgolxCF8UPTYSyUcttMNddVU+8b4i81mH56a7/X9/V/Png8EYFX9oxw1b0b+dVfbID66Tccxk//7iTuvfhsvrZqpffc6mjwzzAoo+pmWmMFMqj+4jTNoCqllFJqRpx1RLv3/TuOWRrKAikYP8QfyjmovgxqrDqCW2uUb437fO5/YScAy+bXcfqhbbxl5RIArrjtGcZSaVrra/j7Mw7ihOXzaW+K8b4TO3jdYW0AnHV4e56foRmXHXUzrVlD/DnLnfqvu2ZQlVJKqTmgHI3Wp9vOwUwAYqZh6cpyyS2SCmUG1TcHVUSodwK/oRID1Ade3AXAqQcvAODjrzs453US/L5ra9a2169YBMDazbvHFVF19w3zr796wrvfWBslVh3xMq3+DGpuMN3nBKg10UjWtIXpom2mlFJKqRnUua6HSzq7iEaEtDGhbd+0c3DU+z6M8zpduQFqGM/VnYPa7DTpr6+tYmgsVXC509wetGPJNH/Z1AfAaYfYrGh7cy0RsS2rAJJpk9UX1b/vrqExntk2wJFLmwH7OfzsDetJGfvkvz31AN7+qqVZ/VJrq/LPQd09lFnmtJRersXSDKpSSqk5I+yZSbcgZTSZZngsFer2TdkBaviGzV25Q/xhXO7Um4Mas3lBN+OYr81U57oeTr/iTs778cOcceWddK7r4YmePd7+pxxkM6i580RhfKX+QW0NLG2xAac7RaB3IM7FN2WCU4Bf/uXlcc38IxHxgtTcIf5yNukHDVCVUkrNEZ3rejjjyju58OpHvF/qYTOb2jf5h/gLZfoqaWQs5fXndAvWZyqYLuWPIS+D6qxz7xZKBQWo7mpRYzl/xPzpye0AHNLeSHuzDSI7WutIm+xh+9xKfRHxsqj3OQHqSzsGSeYM9+f7HHrLnY4Fz0Etx/xT0ABVKaXUHDBbGst3tNYxlpod7Zv8GdQwzuuE7OzpYidom4kh/hsf7eb0r93JBUX8MTSazATRTbkZ1IBz7e4bGdceShDue2EHkJl/CrbbwmXnriRWHaGptipr/qjf6YfaAPXhjbsYTaZ46MU+cuLavJ9Dt9XU+AyqDbrLsYoU6BxUpZRSc0B33whVeZaADFNrpPamGJ9+4+Fc9vunAagKcfumXb4AtdQVj2aKP0BdNr+eLXvjZQ+mewfiXNzZRSptvD82cud9+rnLnIJvDqoboAb0Qe1orfP6i7pGEime3TYAwFFLW7IeW3X8Mk4/tC1rvmouN4MaT6S585kd/OSBTYBtH1ZfHfWWQQ16rlvJn28OamuZhvg1QFVKKTXrBf1SD2tm8qQDW73vz3vN8lAWSEH2EH9YM6hugZQILG6ZmQzq4y/vIZVneDwowHOXOYXiMqjtTTH++qT9uebBTVnb3Y/3l27ZQHVUsj437U2xgn/ktDXWsmJJM09v7eczNzzO4GiKxtoqbvr4KQyOpvIGtpAZ4s+t4vdWkQrrEL+ItInIodNxMkoppdRktDfF+OezDvHu52tKHgZu5gkIcfOm8RlUkzsmHAJukNRSV+0Ff+XO9t7xTO+4bYX+GMrKoDpzUBsKzEEFOGRRIwCLm2v5wd8cn/XYaHJy01fam2wgOejM0T3jsDYOX9zs9UzNp9bNoObpg+quaDXdig5QReR8EflhzrbLge3AMyJyv4g0BT9bKaWUKq9X+zKTX3jbitBmJvt8AWoYWyK5/BnUVNp48yjDxF3mdH59DY21NuibSrZ3osKnXYOj3Pz4K1nbaquC53263Cb90Yh4mdO6Car4dwzYPw46Wutpa4qN6zNaamFd70Dc66HquuPp3qKC3Dp3DmrOEL87B7VcRVKlDPF/DHjWvSMiJwIXA/cAzwAfBv4V+LfpPEGllFKqGHt9Q6lV0fDWAPvnTYZ1bqcxhh2+DCrYYDq3pVGl7XGC/Xn11TQ4Aepkg/7OdT1cfNN6qiKCgcD+tFffv5F4Ik1DTdRrsn/V+Sfy2sMW5j2u22KqKVbl9Qt1zzVfdwT32i9sqi2qUn8i3X0j1FZFSaQyr1cdLW6OtlfF75sva4zxZVArP8R/CLDed/99QB/wRmPMPwBXAe+fxnNTSimliuaf61fqEpIzyZ9BDevczsHRJGM5GdMwBtP+DGrDFDKovQNxLunsIpEyjCTSgV0gXtoxyE/u2wTAh197EC1OwdPukUTQIT0DvmVOXXUTrCTlZlAXNtYWXalfSEdrHcn05LpHxKrGB6j98aQ3DzcMGdQWYK/v/uuB240x7r+0R4G/ma4TU0oppUrR75vrF8ZgyuUPUMPaX9Q/vO8KYzC9Z9iXQZ1g2LyQ7r4RchdD8hc+da7r4aIb13u9Qxc21nBAWwNPdO9h086hgsfuz+mBCtBQG1x45PIC1KZaoLhK/ULcIHf1mi6qI5GCVfu5vDZTvgDVP486DG2mtgGHAojIQuBY4Ce+xxuB8P6PoJRSak7zD/GPBLTvCYvsDGo4z3NnzvA+hDOY3uP8zOfV1UxpiL9QFwg3u+pvbP/V3z/NWYe380Q3bJwgQHWLpPwBap1TJJVv1avcABUmrtSfyGSDXHe+7IhvDmqfb5pKGNpM3QH8k4j0AWdhiw9/53v8cOCVoCcqpZRS5TZbhvj9c1DDWiTlVvA31VYRT6ZIpMyMrNCUu/78RPyV5FMpkmpvinHIwgae3T7obfvi24+kvSnG2s27A7Or7hD/SxNlUEfGD/G72d6gz6l//q8/QJ0OkwlyawOG+N3Mdaw64gWw062UAPVLwKnAlc79rxhjNgGISBXwHuCmaT07pZRSqkjuUCqEM9vnmg1D/DucIf62plr6hsbYO5IoezDdua6HSzq7iEaEdNpw2arxRUq53D6o8xoyGdTRZJpkKl1yoVzfcPZc0nl1NjPY0Vo3bj5uIp1m5X4tXPeXbjbuGMQY4xVA5fIyqHWZDKpblR90Tfvjmfm/Cxsr3yYtqEjKW0WqTNlTKKFIyhjTAxwFvAo4wBjzJd/D9cBHyQSvSiml1IzyZ1DDPAd1ty8QCuO8ToCdzhDzgoZM+6Z8BT3TwV2qdtRdf77IXp/+DKq/FVOp59o7EPeG1d0lU//89HYARhNp3NH9uuqoV6T0qo55gA0o/X905OoPKJKqd4b4g6aiuOcB059BnYy6gADVnYNazgC1pJWkjDEpoCtgez9wy3SdlFJKKVUqt50PhHeIP5U23vAo2N6Sk8n2lduuIRsktTXWenN7y5lBtUvVRoBMpnKipWpTaeOdm78PqnuuLXXFN5B/eqtdRjQaET58+oF89fdPc+ezvaTShhvW9gDQ1ljD/37oeA5oa6C9KZb1x8WmXUMsaMwEk/6pCv0Bc1DdYDqRMowl09RUZX7+/vm/CxrLFwAWKxbQB9Wdg1quCn4oMUAVkSjwIeCNwCLgImPMYyIyH3gH8GdjjM5DVUopNeP8Q/xhLZLaO5IgZ5VMhhMpmkMWoO4ccIf4a9jaX7igZzrYYfTsn9lEbZD6RxK47UH9fVCh9GD6yS22SdEhCxt5y8rFfPX3T7N7OMGjm/q48dFuAN5/YgcnHbjAe05jbRXtTbX0Dozy0o4hTlhuF4roXNeTVS0/3wmUs9pM+bK9I2OprADVzaC2NtRQHYLPRdAQv5dBLWOAWspKUvXA3cA1wLuAs4H5zsP9wNeAj5dwvBNFZI2IbBaRERHZJiK3icipAfueKiL3iciws9+3nPPJ3a9WRK4QkS3OMR8Skdfnef2KHVMppdT02zsLhviDhoLDWCjlZvEWNNTSWOuuG1++a9reFOPUQ9q8+yJM2AbJX2xm+6BOfoj/qS39ABy1tJll8+s5YrFdGPOy3z/Nlr12msH7TuwY97wD2xqATCV/70Cci29aTzyRZmA0STyRZmu/vZb+OajuUqf2XLN//m6A2haC7ClkhvhHsuagOhnUMi1zCqU16r8UOBE4FzgI8GYDO0P/ncCbSjjewdgM7o+Afwb+E2gH7hGRN7g7icixwJ+BGHalqquwq1pdH3DMa4BPAT8HPokdK7hVRE7x7xSCYyqllJpms6GK3x9UucIYoO4ayhRJufMlyz1f9pXdmaU72xpqJyyQ8s/lnV9fQ111lIgTmZR6TZ/aagPUI5c2A3DOikUAPNFjM6snHdDqBaN+uQFqd9+I18A+l/GtBuWfL5v7x1S5KvgnqzZgiN+b+xuSIf73AT80xtwiIgsCHn8B+KtiD2aMuZ6c4E1Evge8hA0E/+RsvgzYBZxpjBl09tsE/EhEzjbG3OFsOwn4APApY8w3nW3XAhuAK4AzfC9VsWMqpZSafslUOitrNpwIX9AHmcxTVUS8vpoz0b6pVDu9lYwyczun0nFgovZR3X3DPN+bafHUNzxGKm2IRoIr4yHT6qi2KtPqqKGmioHRZEnB9PBY0gswj1xiA9Tclz2ofXxwCuMD1KoI46ZwuL548waqoxFWHb+Met90hNzr6l9FKgzcIf5R/xC/88dBOeeglpJBXQo8UeDxYaBpKidjjBkGdgDzAESkGXgDcK0b9DmuBQbJXlr1vUACm7l0jxcHfgycLiJLQnJMpZRS08y/ihSEOIPqBKiLW2Jeb82wZVDjiRQDzjktaKz1tUSa3DXtXNfDa6+4kwuufpgzrryTznU94/a567kdQCYwTKWNV6iVj3+ZU9dkmvU/vXXAm8t65NJmegfi/PCel7L2WbPulcCOAm6AumnXEOm04ZGNu73HaqLZUe5YynidCdxhcwjIoAY06a+koCF+93M8LwxtprDZwf0KPH4UsKXUExCRJhFpE5HDReQy4GjsUDnASmyW91H/c5zlVR8HjvNtPg54JidABHgEOx3h2JAcM4uI7Cn0hV1iVimlVAH9OeuhhzVAdaufFzTUePMQw9ZqapdvnmxbY20m6JtEBtVdhWk0mWZwNBW4xj3AXc/0AvC6wxZmnttfOED1L3Pqqq8tvMZ9EHd4f795dcyrr6G7b2RccVJN1HYUyOUGqPFEmm39cX673oZB7zl+Py5959HUVWcfx+1MEI2IVx2fN4MakgDVzaAm04ZkKk06bbwh/nKtIgWlBah/Bv42TyHRgcDfAbdN4hx+gs2aPgN8Gvg+drgcYIlzuzXgeVuxWV18++bbD9++lT6mUkqpabY3J0AdTqSy5vyFRd9gpj1P/RTWji+nnb4+nG2NmUB6MkVSQUGdG6S54okU97+4E4B3HbufV9E+UQ/UPQEZ1MZJZFDdAqkVzvB+R2sdifT4xvxBHQX2X1DvZcLveW6HN2f1vSd0cM6R7eR+Av3Hcef2hn0OaswXZMeTafrjmU4U8xvCUST1b9iq/b9gq/UN8GYRuRxYB4wCl0/iHP4N27bq74D7gVrAfcfupyHoz6i473F333z7+Y9V6WNmMcbMK/QF7M33XKWUUpa/xRSAMXZFobDp8xWXTGVpTlfvQJy1m3dPGMyVwq3gr6mK0Fhb5VXHT+Y87Rr3hYO9hzf2EU+kEbEZ1EXNNjDbPkEGNVOoM746vrQA1f6aPcopkGpvinHZuSuJVUdoqq3yGvMHzZ2trYqybL59L9+7+0XABpYnHdg64XG8P1B8gX8qbbxlZsOwihSQNR1hZCyV1YkiFH1QjTEvOO2Vrgb+3dn8Ged2A3CeMaa71BMwxnThNP8XkZ9jh8mvwc7/dP/ECvozIuZ7HOf7fPvh27fSx1RKKTXN/E36XcNjKW94Mix2D2WGRr3h6EkGqLn9Ni87d+KlQYuxy8nyLmysRUS8If7JFEm1N8WYX1/NLmdpTGF8+6jfOcPiRy9tZn5DDYuaYnT3jbC9v7gM6ryAOajFBtPJVJpnttkm/W4FP8Cq45dx+qFtBQu7XAe2NdLdN8LmXcMAvPXoxV5xV6HjZDLomXPtGxrzspPhyaBm/g3FE6msThTJVPlGKUrqAGuMWWuMeRVwDLZi/wPACcaYY4wxhQqoij1+Arsi1SoRqSMzZL4kYPclZM953VpgP3z7VvqYSimlppk7xO+v+g5js353vff5vjmok1lC1J3b6e+3WWhp0FIyre4Qs9uH0w2kBicxxN83NOYFp2CHXk8+KNMIqHNdDzc8aoumnt46QOe6HtqdDGrvQJEZVN8c1IYSe7au3bzby7S7Ffyu9qYYJyyfXzA4BThwQfbMx7cdkz2rL99x6gN+/v5VpMISoNb6hvhHkyl+tz4zm/EN37g7sOhtOkxqiQJjzAZjzA3GmF8ZYx6b5nOqw/6R1YTNzCax/Vc9IlKDLVB63Lf5ceAIEWnMOd7Jzq0bQFf6mEoppaaZO8Tf7vulPlLGlY8my8ug+te4n0QGtZi5nS63iv5DVz3EGVcEV9H7eU36nTZH3hzUSVzPx7ttVXtVRLylR+9wCqJ6B+J8rrPLm6eZTNsqd/e69E6QQS1UxT9Y4FzdYP2a+zfyNz9+2Nv+yMZdJbyzDH9/1LbGGk5cPr/A3hlu4O8v6HMLpKoiwrwSlmotJ/8Q/1Ov9HPtg5u9+xP9YTQVFVtDS0QWBmxrxvZb7TbG9Bpj9gK3A+flBInnAY3ADb5tN2Lnrn7Ed7xa4G+B+40xWwBCcEyllFLTzK3ib2/OZKnCVnwEviUi62u8XpiTCVA7Wuu8PqquoEKe3oE4q9fYKvp4Ik08OXFA4Q7xuxnUzBB/inS+Jp95PPbyHsAOn591uP21f8fT2wEbZOcerzoSoSZqA6KJ5qC6VfwtvkBuoqC/c10Pp3/tTj7wwwe59DdPkfANUX/+5g2TCrS27Mk8Z/dwgpsfL27F90wGNXOumVWkaokU6AE7k27bsM37/hPXPz7uc5fvD6OpyjsHVUReyvdYAcYYc3CR+14vInHgAWAb0IEN/JZhpw64Pu/sc5eIXOU8/mngVmPM7b4XflhEbgCudPqTvghcACwHLsx57YodUyml1PRzh/gXN9d6Q1thC1BHk/7+ojXeEqKTGeJvb4pxUFuD19xegK+86+hxw8jdfSNU5QQ6bkDh7pvbRH/nYCZIArKWEB1OpLwgsBhugHpcxzxOOKCVmx/fwgMv7mJkLEU8kQoMsg9xmuJPNAc1M8Tvy6AWKJJyp0WMpYKL53KvSzF6B+L89MFN3v2UkwU+/dC2CY8TmEENWQV/70CcL96yoeA++TocTFWhT9nLMK5DwnT6OXA+8Alsd4A9wEPYYqu73Z2MMetE5Bzsyk3fAPqxy6NeEnDM84H/cG7nA+uBtxpj7vfvFIJjKqWUmkZuo/759TXUVkUYTaZD1wt1T87SnJOpOPcb8C1OYIAFAUFNR2sdY8n8VfSd63pY3dlFNCqk0obLzl05fojfv+rRaLLoADWVNjzevQeA4/afz+sOXUg0Iowm0zzw4k5++YitqxZs5tMt9HIDu52Do3lXk4onUpmlNyUTqjR4hWfjf/bdfSNEJH9WcjKBVnffCDXRSFbHiGID3YaAP1AyGdTyVceXortvhOpIhDj+9yeICLVVkXE/s+mU91NmjDlz2l8t+/hXYzsCFLPvfcBpRewXBz7rfIX2mEoppaaXO8TfXFdNfU3UBqghK5LKbc9TP4U2U/3xBNucDGNbYw07B8e49oFNnHV4e9Z+7U0xzj6induetMPqEclU0bvD//Fk2lZRAKvXdFFXFfWOC5mspHuu2a+Q34s7Br33dtz+82ipr+aE5fN5ZGMf/3PHC17wetmqlRy2qMnL4D6/3VbVpw3sGhzNmrbh+sXDmXmQ//R/j3H5KtvBoNCiAnZaxPjsaUNt1AvOSw20SumZmquu2p7rSMAQf1gyqEHvLxoVOv/xVEbG0hN2OJiKis1BVUoppaaLO8TfUlftFXWEbYjfnX8qYs/THeKfTPHRi7516y960xGAXS50866hcfuO+eZZHryw0WtF5WbH/ATY7VxLdy34ev8QfwnX9LGXbYFUa0MN+7faSvfXH2HDWzc4PWppM391YkdWlbs/IA2ah9o7EOey3z/j3R/1zasttNRpe1OMtxy9GLCBeqw6wqXvOJJr/+5k7rnorEm16CqlZ2quoGxv2ALUfO/vyCUtRXU4mIriJ5IopZRSIeVW8TfHqqjz5vaFq4rfbdI/r66aaER8wVTpgbQ793RhUy2rjt+Pb97+HFv2xvn6H5/lC28/0gscjDFeoAjZy5gGNdEfSWTuizMc7s+gljIdwT//1D1WOmd1r1MPWjCuGKg5VuVN07BFS3bFb3eu7C8e2Zy3UKdxgkUFlrTYzObK/Vr40QUnTkuAVUrPVD/3czqcCJiD2hiOABUm//6mqqQMqogcLCLfEZG/iMgLIvJSzteL5TpRpZRSKh+3Ub8d4g9eQrLSvAr+huyh88kM8b/gBKiHLGykKhrh2P3nAfDrJ7byWl8rqc27hr12TGCnGYwm7XVpb4rx6Tcenvc1LvzJI3Su68laNz5o6DwfN0A9tsOeW+9AnG/d/nzWPj97ePO4ynkRYZGTRXUzqJ3rejjjClt9f9Pa8VXy7rC6+7OPJ9KkAjoOuL1VD25vnNZAq9ieqX6ZJWSDhvjDsYqUazLvb6qKDlBFZCV2SdOPADXAQcAQdqWkA4AUtrBKKaWUmjHGmKw5qHUhXePezV4uaMhp3zSFAPXQRY30DsT589O93mP+Ie/HnD6k/tqgXt+w+THLWrzvv/7+V2W9RtbQec3E2V7/YgAD8QTP9dq5pMftb/uCdveNUB3NDjvytSjKLHcaz5or628LVVs1fljdX8AVFEy7nQEWBcxrnWm5n9PRZMqbqhKWIf5KKmWI/9+BMeAkYBfQC3zSGHOHiPw9cBnwruk/RaWUUiq/0WTaax3UHMvMQY2HrEjK3wMVsqu402lTUt/L553g75D2xoKV5G4W89XLW3lkUx9gg7QOZ07olr02OGxrrOWABQ3EqiOZ6njfcRpqq9g1NFawv6h/2dX3n7gMdzT/mA4bBJdSUOTOQ+0dGA2sJG+qreIbHziW+fU1WcPO/o4DQ6NJmmPZze7dDGp7CALA3AUQ3P6zoAEqlDbEfzrwQ2PMs2TaTwmAMeZHwK3A16b39JRSSqnC3OwpQEtdlW+N88kHqMUuDVrKEqLuMqetDeOr44dLCKZHxlL07LaB5SHtjYGB32jKBn5ugPqag1q9hvbbfP1F3Sbz+82LBQaKmaHz/D1bewfirM5ZdvXaB+2AqgC3P2U7CJRSUOQGkL39cdsqKzU+sD1m2fhCnYaaTEFXYC9U573P5FB1Prmf0x2+pV01QC0tg9qEbVQPNpMK0OB7/H7g8uk4KaWUUqpYe30B6nQM8Xeu6+GSzi5qopk+j0EV3u5+0YiQNibvfq5xc1An2V/0xR2DXnbyEGcu5WXnrmR1ZxejqTTGwCkHttIcq+bprf2AHWb/w5Pb2TuSyKqM37LHBrpLWuoyx/FlQnOHzoOmI3T3jXhFULkMZDWuL7bgxpuDOhCnvSnGB1/dwTXOEpuxqvyBbXYGNfvnH0+kvH657c2VDwDdAHU0aefLugFqTTRS0udhrirl3W8HFgMYYwZEZAg4zPf4fCAa9ESllFKqXNwKfrBD/N4KPYnS53b2DsS5+Kb1JFLGGzK/pHM9zXXVHLOsJWv1pdWdXVnD6hOtIOT2QW3NGeKH0vuLgm1V5VZ7u4HfN29/nl88/DJdW/pZ9/Jur9r92I55tDfX8uz2gawVmrbutd8vnVeXdZzcALK+wBr3Qd0A/HIb17c3xSbMYGbmoNqgLeK0w1qxuImffvikvM+vr4kiAsaMz6D6594uCkUGNROCvbxriD88ZZcUTaTTnPGfd074B89cV8oQ/+PAib77dwOfFJEzRORM4J/BW2FOKaWUmhFuBrWmKkKsOjqlPqhBBTujScMnfvkYZ1yZqY7v7hsZN2d0ojXJ+wpkUIstPgJ4frtTwd/emJW5bG+K8cnXH0pE7Gv91x+eBeDAtgbmN9Sw2MlKbtvrH+K357t0XizrOPmGzocDzrO9KcZZhy8EgoOKyazQ5L72rsFRkqk0f3Hmz569or1gcCsiebsj+KdhhCGDet8LO7zv3/CNu7nxUfvZMsZ2IXAL1PZVpQSovwDaRMT9lH0R25zsTuDPwDxg9bSenVJKKTUBt8WUO8eyrsZdoadwgBo0f9SuNjS+PdHwWCoraJhoCdFcxhivD+qCgDmo+do3da7r4Ywr7+TCqx/xAmSvgr+9cdz+i5pj3mpS63x9SAEWt7itm4IC1MIBZKEG+JAJuk85pI1L33HkpBrXZ78PG0CmDWzuG+bJLXsBePUBrRM+NzNfNjdAtRnUplgVserKDvj2DsT5pq/lVjI9fm35if7gmeuKHuI3xlwPXO+7/5iIHAWswi6Sdqsx5qXpP0WllFIqP3+TfsA3xJ8/QM2tOneHUxc21lITEUZThuqoZLU1gkzQcMLy+Ry0sIHntmdWdPrKu47OG4gNj6W8gNYN5tz+ovFEOrigZyDOJc40AreCffWaLi94OyQgQAX4q1d38OdnMm2nDmm35SLtzdkB6uBo0puTuaRlgnXj8wR9rm3O8PmRS5q48LQDeesxS6bU2N2/mtRtG7aRNnb1pxOWz5/wuY21VfQOjI7LSveGqMWU23JrNJl/asRkMs9zyZRm4BpjuoFvTdO5KKWUUiXbO5xZ5hTGV0fnyhf4nX5oG2PJNKNOUPrFtx3JV3//dFYQ4QYN8USKzbuGs467Ymlz3nPs863g5M5BBRtMxRNjgc36g7JnVZEIPX2ZCv4gZx3RTmNtlEEnQPvm7S+wuKUuM8TfH8cYw9Y9mePvV2QGNd813b43O/grZp5pIU21VdRVRxlJpPjt+q0ArFjSTFNO26hC55ob9G8PUYspm6nPDk6rIhCNRLKK88LQbaBSSlpJyk9EqkTkVBF5n5NJVUoppWacl0F1h/ir3aVOg4Op7r4RjAnOjD67zfYXrYlG+ODJ+3P5qpVURzPzPL/09qNob4qxbvNuL3CdV29f99FNu8ln93AmQE35ApNCgV/QdIOxVJqUr4I/32v5lywdS9mpCbVOk/x4Ik1/PMkrToBaHRXaJlha0z3PfKteua2rFk+QiS2WiHjzRN1OBMUM74N/jfvgIqkwBKhBLbeufO+ruPfis7jm707inovO2qcLpGCCAFVEzhSRb4tIe872A4G1wL3AdcB6Ebm6fKeplFJKBfOWOY25c1ALD/EHBX5uZvQZJ0A9uL2R6miEVccv44//7wyqnCDVDX7ue2EnAEctbea0Q9oAeHRz/gD1N09s8b5/y7fu9Yqt6mvyz+1sb4pxvLOEqevghXa4vq46ytKW4Kxnd9+ItzSpqzoSyeolur0/7lXwL26JTbhIQH2BIqmRscwKSBNNFShFbqX9SQcWGaB6RVI5Q/zOXOP2EAzxg+2YcM9F2QFpJZYUDauJMqgXAm8yxvTmbL8GWAk8AHwDeAq4QEQumO4TVEoppQpxg6PxQ/zB2b72phj7OyspAdRExRtOdQPUIxY3eY8fuLDRKzxyh5vdAPX0Q9o40ZkXudapNM/VOxDnmgc2effjviVEG52AN19m0i3mcZO4T2+157d8QX3eoLKjtW7cOvSJdJqj92sh6jxn2954Vg/UiRTKoPob/0/n/M7cSvviM6jZKzS5doRoiN+lAWl+EwWoJwF/9G8QkSOA1wL3GGNea4z5jLPf88D5ZTlLpZRSKo/MEL8NTOqq7W08kSYdUJEPZM0rPf+UA7zh1Ge32eFkf4AK8PZjlgBw97M76O4bpusVW1V++qFtnLjcBk5bfEGfX3ffCLmn4V9CFPLP7XRbQn30dQdTW5UJSJ/bPuBlYXPlW7FpcUvMC86298d9q0gVEaDWBAd9/nN0X3u6+I91YFtD0asr5Qum3eKwsGRQVWETFUktxgaefmdiuyFc5W4wxoyIyC+Af5nWs1NKKaUmkKniz86ggh3mb8hZkSeRSme1Wnp2u81KjiZTvLhjCIDDcwLU169YRG2Vrbr+998+hTG27+qrD2ilKiLU10QZHkvx6ObdvDMn4Ht511BgRrOjtS5vz06Xm53smF+Pvxd+2hReGCBfw/325hhb98adANXNoE4csNXX5l/q1L2WbY011FRNurRlnEW+DOrR++UvQMvVGDAHdSyZZrdTTBemDKrKb6JPUi2Q++fgq53bu3O2d2P7oiqllFIzJneIv84XoAZlJrftjWdlNB9/eQ+ptOHF3kwgecTi7ICosbbKG+b/k7O2/InL5xOrjlIVjXCs02s0d5g/nkjx37c/B9g2Sbm9QfMV9NhzTzIQd7cbr/jLNVGfzKDh48VO0LetP87WvcX1QHXfP9hAL3fVqG1lat/0sq9Lwm0btuXNGOfKzOvN/Ox3DGZWkdIAdXaYKIP6MpBboX860Ou0mPKrB/ZM03kppZRSRfGKpHKq+MEGiLlyh+EHRpM83zvAs9vt8P68+uqs7J3rbccs4bYnt3n3j/UVMJ14QCsPvLiLv/gq+XsH4vznbc84PS+F//vIa4hGJHsJ0YBgyrXdtzTnUUubSaSLXxggn8xqUqNs8ZY5LSKD6g/6R1O01GfyW+4Q/3QWSPUOxLlhbSbMSKTMhEvJutxg2t+ztdeXMdch/tlhogzqvcD5InI0gIicCxwK3Bqw70rglek9PaWUUiq/dNowEA8ukoLgDOoWJ3PY1ljjtVdau3k3zzgFSIcvaspaQtT1+hXt+Eewr7pno5fVcwulntnWz+Boks51Pbz2iju5Ya39tfi6wxZy0oGt4zKajQVWaPLP7VyxpCVwXmmpcz7d4Ozprf3ewgGlZFABBnPmoW7bO/0Z1O6+EWqqSssYu4L6oLrBfkNNNOu9qPCa6Kd0OfAh4AkR2QUsAMaAr/t3EpEo8E7gpnKcpFJKKRVkcCzpDddn5qBmfrUFFfX4i4MWt8T4w5PbWbt5N7sGba/SFUuC5zsOjiazpga4/UVPP7SN4/afR0Ts3NCr732J/7nzhaxVqO59fie9A/FxAWW+inPIzO1c0GDnduabV1oKN4P6ii+LXEwVf9Y1zQmmvR6o0xigBjWyLzZj3OB1RvAN8YesxZSaWMEMqjFmI/A64PfALmzm9ExjzJM5u57lPH5LOU5SKaWUCtLvzD+FTBV/rS/NGdSsv2e3Dc72m1/nLZ25bvNur0l/boGUy/YXDc7qNcWqvQzif9/+/LglUmuiwdm/hgJtprYHzO2calui3Eb6jbVV3hKxhbjnGXSu3nlO4xB/vk4Exbxvt/BsIJ7wep/2hrDFlCpswk+lMeZR4B0T7HM7dohfKaWUmjHu/FPIDPFHIuItkxk4xO9kD5e2ZALUTb6CnHwBakdrHWkTXI3fOxD3gqAg+bJ/DQXmoE736kzAuLm1S1pigdMZctVVRxEBY7KnTaTSxnvf05lBhfydCCayzlkwYTSZ5owr7uSyVSu1xdQsNH39IJRSSqkZtteXQfXPLawvsJqUF6DOq+OopS3URLN/FR6+KDhALZTVs3Mmx/9Kra+JFsz+NQQU9LiCMqhTlXusYuafgl16tCFg1audg6Ne54PpDKRdpWaMewfiXHXfRu++uyhCt5M11wzq7KEzhZVSSs1abg/UxtoqqnyBZl1NFIbGD/EbY7z5l0vn1RGrjnL0fs2se3kPAPu31o/rm+qXL6vX0VqHycmu1lYJ3/7gcRyzrCVvgOVvM2WMycpmZoqPpi+oaopV01AT9fqZFlPB7z/XwdFkVjDtL+QqR4BaKvuHguD/sVdHImzdowHqbKMZVKWUUrOWm0GNVUe8+YaQaTWVW3y0dyThDVEvm2+zh+4wP8ABbfVMJCirF5RdvXzVMZyzYlHB7J8bDKeNXfnKz608n+6hc38WdWkRBVKuoOkI7jSE+pooTSGojrfFVeOnYbhTQaa7V6sqHw1QlVJKzVr3Pb8DgL6hMc648k6v7ZM7xD+cM8Tvr153h7cTvmVPH3hhV9EN4XOtOn4Z91x0Ftf83Uncc9FZ3vKphfinJfgzk+m08QLu6Sw+guwgbUmRQ/zgW00qq31TpoK/mLms5eb+oVATzZzLJ19/KLtHxpzHNYM6W2iAqpRSalbqHYjz+y7bON/NQK5e00XvQNxbTSqeM8TvtpiKVUeYX19N70CcX/4l0xA+mTbeMSaj1DmT/p6t/sCvb3jM6wQw3RlU/1B8fU3xYYCXQfVd03L0QJ2qVccv496LzqatoQaAjTuHcGdftE/jdAlVXhqgKqWUmpW6+0bITdq5bZ/cvp25Vfyv7LbV+kvn1SEids5iTpFUsQ3hp0NWA/zRPHM7pzn42zM85n3/qeufKDpj7PVsDTjPMMw/9VvUEuP9r+4AYM1jmTWEtIp/9tAAVSml1KzU0VpHJCdCdds51eUZ4neX99zPGdruaK2bliVEJyt7UYHMubpD5zVVEebVV0/b6/UOxLn3+Z3e/dFkuuiMsZvtzSqSKkMrrOniTrFwM9Hu/GA1O+T9SYnIlyZxPGOM+Y8pnI9SSilVlPamGJevWsnqNV1URyIk0mmvnZNbJJVbxe/OQXUDVHfOYtAxZkJNVYSaaISxVDorg+oWSC1qrp3WuZ3dfSNURyMk05nr4maMi17jPqBIarqzvNPhkPZGXtUxjye69wCwoGF6r6Uqr0J/Slw6ieMZQANUpVTF9Q7Ep7QkpJod8rV98oqkcqr4/T1QJzrGTGmojTI2nM6ag1quwC+oHVaxGeP6gD6o20M4B9Xv4IUNXoC6Ze8Inet6iipeU5VXKEA9cMbOQimlplHnup5xGTH9pTR3tTfFxgWVdV6j/uzh+1d2Z2dQCx1jptTXVLF7OMGwLzNZrsCvvSnGZXmyzhNprM0e4h+IJ7yCqTAO8fcOxPnd+q3efWNg9ZouTj+0Tf9onQXyBqjGmM0zeSJKKTUdegfiXNLZxWgyTRwbnOgvpX1PfbX99Tbiy6COJlPespzFrqA0E9yh88EZyKDC5DPG9bXZhWflLOSaDm4B3KivjVix0xlU5elsYaXUnBJUfa2/lPY9dU77pKzCo72j3ve5GdRKaijQX7RcQ+eTyRg3OFnpnYOj9A7EvSA6GhEWhrC/aKUL4NTUFCqSOt/59mfGGOO7X5Ax5tppOTOllJqEjtY6b21wl/5S2vfU1bgZ1EyA2rPHtpgSCdeQtNu+aSigin+6m/RPxdNb+wHYuifOGVfeybuPXQrAwsZaopHwFR9VugBOTU2hDOo12KKn64Ax3/1Cn0IDaICqlKqY9qYYJxwwn4df6gMgVhXRX0r7oHpvqdNM0Oc26W9vqqWmKjxdFhtyio/iiRS7h+0SrmEZOu8diHPDWtsv1WAXRbjhUXu/tbGmgmdWWKUL4NTkFfoXehZwtjFmzH/fuc33dXaxLywirxaR74rIUyIyJCIvi8h1InJIzn53iYgJ+Lou4Ji1InKFiGwRkREReUhEXp/n9U8VkftEZFhEtonIt0Rk3CLM5TimUqq8/L0Of/uJ07VAah9U7xVJ+QPU8RX8YeBlUJ0Atbc/MxUhLAFqd98ItTlBvdNelGe29k96ediZUOrqXiocChVJ3V3o/jS4GDgNuAFYDywG/hl4TEROMsY87dv3ZeDzOc/fFHDMa4D3AN8EXgAuBG4VkdcZYx50dxKRY4E/A08C/wosAz4DHAS8YwaOqZQqo+2+X/C1VdECe6q5KlYzvg9qeAPU7Or47b6m+WFZmrOjtY5kztQZV1qr41UZVLJI6r+Bv/ZlaBGR64EubPB6oW/f3caYnxc6mIicBHwA+JQx5pvOtmuBDcAVwBm+3S8DdgFnGmMGnX03AT8SkbONMXeU65hKqfJz5+8B7B1J0FHBc1GV4Q7xj6XSJFNpqqIRNu4cAmD+NK7MNB3cDOrWPXFbfORUx8+rryZWHY4/sPzzOSPIuBW6tBBRTbeSJ+GIyCIReZuI/I2InJ/7VexxjDEP+INTZ9vz2AzkioDXrRKRxgKHfC+QAK7yHS8O/Bg4XUSWOMdpBt4AXOsGko5rgUHg/WU+plKqjFJpw87BTAZ1IJ4ssLeaq7KWEE2k6FzXwyMb7bzk6x7pDtWQ9OZdNnDesGUvZ1x5J396ahsQnuF916rjl3HPRWfx7b8+btxwvxYiqulWdIAqIhER+R7QA/wa+Cnwk4CvSRO7BtkiYGfOQyuAIWDAmQu6WkRyz/044JmcABHgEWxh17HO/ZXYzPGj/p2cYPlx5zjlPKZSqox2DY7iH4kciCcqdzKqYtxG/QA9fcOs7uzC/Vgk06bo9efLrXcgzh+f3A7YofJ4Is3vumyAGsbVmdqbYpyzYhGXr1rprW0fq9ZCRDX9Shni/wzwMeDnwB+x2cGLgQHg/wF7gUumeD4fAvYje77pi8Ad2KH/ZuCDwFeB/YF/8O23BHgl4JjuMhJLffv5t+fue0qZj5lFRPbke8zRMsHjSs2osC8h6jZid2kGdd/kD1A37hwiktMGKSxD0m7xUdI3Vzbt/IXVUheuqQh+Wh2vyq2UAPUC4DZjzPkissDZttYYc4eI/Axb6HQCNpgsmYgcAXwXuA/4mbvdGPPhnF1/KiK/Aj4qIt8wxjzrbK8DRhkv7nvcf5tvX/8YRTmOqdSsNRuWEPXPPwXNoO6r6n1zN1vqahhLhrNhe0drHSmTXXzk3vt911bOPHxh6P6NuSq5PKya+0qZg3oQcJvzvfsvvRrAGDOEHd7/yGROQkQWA78DdgPvM8akJ3jK17FD7Gf5to0AQeWOMd/j/tt8+/qXoSnHMbMYY+YV+sJmppWquN6BOJ/r7CKeSDMwmiSeSIdmmNTPX8EP0K8Z1H2SP4NaVxNh5X52MKoqIqEaknaLj2LVEW/1K1eYpiIoNdNKyaCOYAuGwBb+GKDd9/g2KL1YVkRagFuxQ9mnGWO2FfG0bue21bdtK5mhdj932xbffhTYd4vvfjmOqdSs1N03AjmZnrAMk/rl/jLXDOq+qbYqQkTsvM7hsRRbncr4C05ZzsfOPDhUn1l3uPz2p3r56u+eylpRKoz/xpSaCaVkUDcDBwMYYxLYnqBv9j1+DrC9lBcXkRjwG+Aw4O2+4fqJHOTc7vBtexw4IqDS/2Tn9gnndgOQBE7MOZcabNHT42U+plKzkl1CNHtbWIZJ/XIzqDoHdd8kIl4l/3PbB711499zQkcog732phjnHNk+brg/jP/GlJoJpQSodwDn+u7/DPigiNwpIncB7wN+VezBRCQKXI8tIHqfMeahgH2aRaQ24HmrsdMMbvc9dCN2ysFHfPvWAn8L3G+M2QJgjNnrPO+8nMDzPKARu3BAOY+p1KzU3hTjkPYGwM6vCdMwqV/vuDmoGqDuq9weonc/Z3MZTbEqDl/cVMlTKsg/3K/V8WpfV8oQ/38BfxSRWmPMKHA5doj/b4AU8EPg0hKO93XgndgMaquI/I3vsUFjzM3A8cAvROSX2IxtI7an6InAFcaYje4TjDEPi8gNwJVOf9IXsYVdy8lu+g+2S8ADwF0ichV21adPA7caY24v5zGVms0iEfs3bW1VhHsuOiuUvzjdKv6qiJBMG/p1iH+f5S53+tBLuwB49QGtRHOq+cNGq+OVsooOUI0xW/G1UTLGpIBPOF+Tcaxz+w7GLwW6GbjZub0fu9ToImzWdANwoTHmpwHHPB/4D+d2PrazwFuNMffnvJd1InIOdjWobwD9wI8IbpNVjmMqNU7Y2zcB7HDmd8aTaRY0hGMJxlxuFf8BbQ280DuoGdR9mBuguhX8Jx3YWmj30NDqeKVKCFBF5EtApzFmQ57HjwLeY4z592KOZ4w5s4h9NmKnDhTFWeXps87XRPveB5xWiWMqleu6R17mi7dssP0Q0yaU7ZuSqTS7hjKLvw2NJWmOhatPo38VqUMWNvJC76BmUPdh/kp+mD0BqlKqtDmolwLHFHj8aODLUzobpfZBvQNxvnDzBhIpw+BoKrTtm3YNjWUV8Q+GMDPpX0XqYGe+rGZQ9111vl6oddVRjl6q654oNVuUEqBOJIatZFdKlaC7b3ybXLe1TJj05lTHD46G75+7v4L/kHZbr6htpvZd9b4M6nH7z6Omajp/5SmlyqngEL+INAPzfJsWiMj+Abu2Ypcp7Q54TClVQNBKMmFsLTO+v2j4AlT3HGurIuw3rx6wa5snUmmqoxqc7GvqajK/4nR4X6nZZaI5qJ8CvuR8b4BvOl9BBLhoWs5KqX1Ie1OMtoYadgyOERGoqQpna5ncNe7DnEFd1ByjuS7z39tAPElrQ02lTktViH+508MW5bazVkqF2UQB6l3OrWAD1TXYKnY/g11Z6iFjzAPTenZK7SPiTpXxouYYt/zzaaELTgF25AaoIcyguhX8i5prafIVcA3EE2UPUGdDF4Z9zSt7hr3vP3X9E8QT6dAVHyqlghUMUI0xdwN3A4jIcuD7xpiHZ+LElNpXjCZT3nB5Mm1CG9zkDvEPjoZvbqeb5W1vitEUy/z31j8yuWC62KDzprXdXNK5geqokDLh7MKwr+kdiPPQS33e/dGkLT48/dC20P4bU0pllNIH9W/LeSJK7at2DWZaN4UxK+nKLZIK5RxUJ4Pa3lxLY00VImDM5AqlOtf1cElnF9GIkC4QdPYOxLn4pi6SaYO7hLoGQpXX3TdCbXWE5Kiua6/UbFRS1YCINInIl0TkPhF5XkROcba3OduPKM9pKjV3uX07AUYSKVJpU2DvypkVc1AH3CH+GJGI0OgUyfSXGEz3DsRZvaaL0WSa4bHCrb+uvncjyZyfWW4Xht6BOGs37w5d67C5rKO1bty/pTAWHyqlghUdoIrIQuBR4IvAAuAgoA7AGLMTuwToR8twjkrNaf4MKtgG+GE0G+agulne9ia7ylVznZ2HWmoGtbtvhKqcJTGrAoLO797xPN+/56Vxz/cHQjet7ebUy+/g/B8/zBlX3knnup6SzkVNjq5rr9TsVvQQP/AVYDFwMvAy0Jvz+C3A66fpvJTaZ+wYzA78hkbDt0KTMcYLUJtjVfTHk6HLoCZTaS8bvajZBiHuPNRSpyN0tNYx6hSuueLJlBd0dq7r4XM3rWcsZTN0rfXV7B1JkjIGEbxAqHcgziWdG0imDUln/F+H/2eOrmuv1OxVyhD/24H/Ncasw1bu53oJ6JiWs1JqH7JzMPyZyb0jCcZSNmA7aKHTAD9kAequoTFvFalFzTaDOtkAtb0pxhmHtWVta6ypYl5djRN0dnnBKcDQWIrPv30FYP9TfcORiwCbiTUUHv5X5dXeFOOE5fM1OFVqliklQG0DXijweBq7mpRSqgS5Q/xhy0xC9vzTg9rsEqJhC6T9RVwLm9wMqs1E90+iSGrvsH1/Jy6fT0Rgz0iCG9f28MzWAS9Yd9VEIxza3khVREgZvOrxRc21JFI6D1IppUpVSoC6DTi4wOPHYYf+lVIlyM2gDvmqjsPCDf4iAssXOAHqFALpchQNuT1QY9URmp3MaSaDWlqAOjKW4omePQB89IyDeI9Tvf/tPz/PFbc9Q87CXyTSaQ5f3MTxy+cDcM9zOwDY8Mpeb5+G2qjOg1RKqSKVMgf198CHReR/gKyUj4icDJxP/lWmlFJ5jBviD2V/URv8LWispcVZoWmyGdTOdT2sXtNFdSRCIp2esGdosb1I/T1QRWyBkzuXt9Qh/sde3k0iZeeTnnRgK4cvbuLGtT1s64+zzQmEoyLU10S999DeFOOMQ9t4ZGMf9z6/w3mvrwBwykEL+MybDtd5kEopVaRSAtR/A94JPAb8GjsP9QIR+XtgFbAFuGLaz1CpOW78EH/4Mqg7BjLV8Y1O0DeZDKrbvimeSBPHDpMXKhoqJZj1ryLlKmYOalAA/NBGO0R/+KIm5tXXMJZKExHbhN9VFYVvfOBYjlnW4j3vjMMW8l9/fI5Nu4bp6tnLnc/aWtIPnNTBCU52VSml1MRKadS/TUReA3wH+Dvs8qfnYQPV3wMfN8b0FTiEUjNuNiw/OX6IP1xzO8GfnaylsXZyw+bgtm+KAJk5nPmap7vFSKPJ4oLZzbuGgExrKcjMQc13rvkC4Idf2gXAaw5a4J13rDrC0Fjmj4eaaJT59TVZ53LU0hbm11ezezjB6jVdJFKGhpoobzxycdHXSCmlVGkZVIwx3cC7RKQZOBwbpL6ggakKI3cloIizmtBlq8K3/GQqbegbmj1FUgubar2s5OBoEmOMN5xejI7WOsZy2jflKxrq7hsZ12g9XzDbua6HXz+xBYC7nt1B57oeVh2/zDvXoEb9+bK5rz6glce69wBw8oGt3nmnzMTFTtGIcNohbfx2/Va6nPmnbzp6MXU10fwXRSml1DglrSTlMsb0G2P+Yox5xA1OReQ0Efnz9J6eUpPjXwloJJEmnsy/ElAl9flaI7nN5UMZoLpLiDbFvAxq2tiVr0rR3hTzWjC5Pv66gwMzorGqyLgVmnKDwt6BOLc/tY2Lb1rvXcdU2ng/60JFUt19I1RHsv8LrIoIdz7b6wXRJzkBailN3884bGHW/VXHheuPIqWUmg2KyqCKyAJsBX+fMeaFnMdeA/w7tkl/OuDpSs04N/iIFzGUXEm7hjLD+wcsaKB3YDSUQ/zeHNTmWhpjmf82BuNJ6mtKGogZ1wB/70jw+73tyW1Z96ujkhUU3vBoN5d0dpFK53Yazfysm702U+Nfo6O1bly7qOGxFD1Oj9LDFjWyoDEzn7XYpu+DOcHwtr3a81QppUpVMIMqIlER+T6wHXgQeFZEHhCRdhFpFpFfAPcDZwG/AFaW/YyVKkJHax2JdHFDyZW0c8AO70cEls235xa2/qKQXSTVVJsJSEtt1m+M4bGXdwOZfqq/fmILyZxAMZ5I8YuHs7vW/dWrO7wpGm6GPBkQnELmZ93sdBwYS6YZTWZne9ubYnzqnEOztqUNXP+ofd1j9ps37rgTNX3vHYhz5R+ezdr2hVs2hC5zr5RSYTfREP+/AB/FVujfBDwBvAb4LvAH4K+AnwFHGGPOM8Y8U8ZzVapo7U0xvvruo737Ed/yk2HiFki1NtR6xT1hG+IfGUt5gejCpti4DGopNu8aZpcz5/aLbz8SsNfgvhd2Zu33u/Vb2TU0RlVEeMerlgLwQu+g93h338i4XqQA9TXZvUabfEvGBlXyH7VfC2An0592iC2IcjO6tzzxCp3rekp6f0HTBnTlKKWUKt1EAep5QBc2AH2/MeZ44HvAe4BDgNONMRcaY14s83kqVbJzfJXTx3bMC12BFGQC1LbGGhpqbSHN0Fi4AlR/9q+9qZa66igRpy6q1P6i65zsaVOsitcdttArQlrz2CuZ1+uP89077Uyit65cwjkr2gHY8Eo/aWeiacf8unHzU2urhG9/8Djuuegs72fd5Aumg861Z7cNHJfOq+NLTsDsSqRMyfOWZ0vmXimlwm6iAPUw4FpjzLBv2/ec2yuMMQ+W57SUmrodvuU5c5ebDIudTg/UtsZaGmqn1gC/XPzLnC5sqkVEvEKpUhcVWLvZBqjH7T+fSERYdfx+ANy2YSv3vbCTa+7fyOlX3MlLO23LqAMW1HPMsnnOayXZ6LSS8k8tcLOml686hnNWLMrKkvszqP0j48+1Z7f9r23Z/DoGR1PUVWdX25ea/SylmEoppVR+E1U3NGCXOPVz73dN/+koNX38/UXDNmzu8mdQm2oz7ZvCxF3mtDlWRcwJ4Jpi1fTHk5PIoO4B4IT9bdP6Nx+9hNWdXYwmDRde/TA59VP88N6X+NDJy2mKVTEQT9LVs5eDFzby4Iu2T+n8ump+dMGJ7L+gPjAIbKix2d60KZxB3W9+HR2tdeTOaJ1M9rPYYiqllFL5FdNmKjf15N4P33qMSvn4M6ilBlIzZZcXoGYyqEMhW0lqhzPE3d6cCbQaJxFMD44meXZbPwDHL58HwGgy5f2Hkhucgs1g9uwZYaUzV3R9j+0t+qDTSP/UQ9o48YDWvEGgiBRs1v+KE6Aum18/rdnPiYqplFJKFVZMf5i3ioh/GZR6bJD6PhE5NmdfY4z5xnSdnFJTkZ1BDeffU+4Q/wL/EH/YMqi+Cn6XWyhVynSEJ7r3kDYgYucEg7tCU5ThseCg3M1grlzWwgMv7qLrlT0YY3jIyaC+5uAFE75uU6yKvSOJghlUt4OCZj+VUiociglQ/9r5yvWxgG0G0ABVhYI/gxpPpEmk0lRHJ7U2RdkEDfEPjZW+QlM5+VeRck0mg+rOPz18UZOX1exorSMdUI7fUBsllTZeBtNt+bThlX6e3jrgdQI45aBiAtRqYIT+nAzqaDLFdic77AaoYLOfGpgqpVRlTRSgnjUjZ6FUGfgDVLBr3M+rr6nQ2YxnjGGXWyTVlMmgGmMbxjfUltYAv1zcLGNjbaaAyM2gFuqD2jsQz8pEugHq8cvne/u4w+qr13RRHYmQSKf53JuPYOWyeVkZzGOW2SH+kUSKnz+8GbAB88ELGyY8/8xqUtnnunVP3GtVtWxe/YTHUUopNXMK/gY0xtw9Uyei1HTzD/GDDVDCFKD2x5PeSkZtDbVZ67UPjiZDEaB2ruvhYWe+5/V/6eGE5a12jfsJOg50ruvJCjq/8q6jWbu5D4BD2huz9i1mWH3Z/Drm11ezezjBjWttb9JTD15QVJa52QlQczOor+yxgXdEYHGLZkyVUipMwjXeqdQ02pEToIatv6g/gG5rqsnq2RmGeajuak2ZIqZMX9BCQ/zu8+KJNAOjSeKJNJ+9cT2DTvHXFbc+M64B/kRFRSLCSqfd1JhTTVXM8D7gK5LKPle3xdTi5hg1VfpfoVJKhYn+r6zmLHcZUVfY+ou6w/sACxpqszKmQyEIULv7RojmZCjdvqCFiqS6+0aoyllNyT/LdDSZLrkBPsAxTiW/65QiCqQgk0HNreLv8VXwK6WUChcNUNWk9A7EWbt5d2jXGE+nzfgh/hAEfX7u+TXHqqipilDvaxIfhmC6o7WOeDJ4VSQ3gxp0TTta60ikAnpG+Uxm+c/coP3RTX1FPS9/BjW7gl8ppVR4aICqSta5rofTv3Ynf3PVQ7z2ijtLXq98JuwZSYxbCjMMQZ+fV8HvVMdHIjKp6vhyaaqtptr5H6KmKpKzxn3+laTam2J88NUd3v3aqFAdzc7EltoAv3cgzi8eeTlr2+dv3lDUH0j5iqRe8TXpV0opFS6Vr8JQs4o7v3AslQandeXqNV2cfmhbqFrz+LOnDTVRhsZSoQj6/PzLnLoaaqMMjiZDMV/210+8QjxpqI4IP/ib4zlqvxbvZ9xYa7OS+YL+eQ22GO2QhQ384qOv4b7nd2YVTZXaAL+7b4SaaIRRX0bXzcJOdBw3g5pbJOVf5lQppVS4aICqStLdN0J1JEKc0gOFmeS2mIoIdLTW88y2gdBmUBdmBahVwGjFz9UYw08fsO2c3vGqpZx1xKKsx705qKPBPVuf2z4AwHH728KnqTbA72itI5EOnm4wkaAM6lgyzbZ+tweqzkFVSqmw0SF+VZKpBAozyQ3+Whtqaalz5iCGLYPqBNELGjOtr7z2TRVe7nTdy7t5aqtdlvS8U5aPe9ydipBImayspuuZbTZAPXxxk7dtKst/TmUZ0ua6zFKnxml8um1vHHcGiGZQlVIqfDSDqkriBgqfueEJ0gaiIpNer7yc3AxqW2OmfVMYKuP93NWQ2sZlUCt/rj+4+yUAjljc5C1L6pfbEivmK/CKJ1Js2jkEZAeoUzXZLKx7rm4wHauO0rPHDu+LwJIWDVCVUipsNIOqSrbq+GW881VLATjriIWsOn5Zhc9ovB2+5TkbJ2gqP51K6W6w3RlirvX14GwIQZHUNfdv5I9PbQfgxR2DrHnslXH7NPpaYuVe1xd3DHrZyekMUGFyWdhmXzDtzkN1K/gXNWkPVKWUCqOK/c8sIq8Wke+KyFMiMiQiL4vIdSJySMC+p4rIfSIyLCLbRORbIjJu4piI1IrIFSKyRURGROQhEXl9ntev2DHngkXNNkAYS41fRz0Mdvjmd85U0Ne5roczrryTC69+hDOuLNzdoHNdjxck/dcfn/X2bapwgNo7EOcrv3vau59ImcCepY0FFhV41hnen19fnTW/tlLcIinIzEPVFlNKKRVulUwdXAysAm4HPgn8EDgTeExEVrg7icixwJ+BGPCvwFXAx4DrA455DfAp4OfOMdPArSJyin+nEBxz1vPP6wujrAxqEevGT1XQ6kn5mtH3DsS5pLPLu+8PAosZ4i9nD9ruvhGikeDm/H4NNZkANbd907NOgdRhi5qKWoq03PzTEfpH3AyqVvArpVSYVXIO6n8Df22M8ZbTEZHrgS5s8Hqhs/kyYBdwpjFm0NlvE/AjETnbGHOHs+0k4APAp4wx33S2XQtsAK4AzvC9dsWOOVd465uPhDNAdVs4LWyqJZ6wBUeDZQymS+lu0N03gslJPLv7TpTt7VzXw+duWk8kImDgslUrp3WKRUdrHbkxZVARXDQiedt3PedkUI+Y5uH9yaqrjhIRSBvo7hvmuP3nez1QtYJfKaXCqWIZVGPMA/7g1Nn2PPAksAJARJqBNwDXukGf41pgEHi/b9t7gQQ2c+keLw78GDhdRJaE5JhzQqa3ZLgKj1yZIqnaGWl+39FaZ3vD+oylgrsb9OweHrevGwQ2xfKfq5t5HUsZ4ok08UkuGVpIKdXyjXma9btD/IeFJEBd89gr3pzYT9/wRNb0Cm3Sr5RS4RSqKn6x44GLgCecTSux5/iofz9jzJiIPA4c59t8HPBMToAI8AggwLHA1hAcM/c978n3mKNlgscrorkuvBnUVNrQN5QZ4ndXlJquIqnegfi4SvL2phhnHb6Q257c7u136sELxgV2T23Zyxdv3gDYCvLGmqqsxvUNNbYaPmiIP2j4vSoi096Dtthq+cbaKrbn9GztjyfYstcGzIcvqnyA6k69cCVShs91dpFwWmM11kbzPVUppVQFhSpABT4E7Ad83rm/xLndGrDvVsA/D3QJML7cOPPcpSE55pzQ7GRQR5NpRpMpaqvC84u+b2jMy5i1NdZ6cySnI4Paua6H1Wu6qIpESDqB5arjl2GM4Wknc9hUG2VgNMX6nr2MJdNelfgNj3Zz0U3rveH9T559KK89bGFWEJiZgzq+D2rQGvfDY6my9KBtb4pNGPQ2xsb3l3WH9yEcGdSgqRdjvr6tn7lhPYmUCWUnCqWU2peFpr+KiBwBfBe4D/iZs9n9zTsa8JS473F333z7+Y9V6WNmMcbMK/QF7M333Epyi6RgfJFMpbnD+2AzqE05qx5NVu9AnNWdthBqMKcQ6pGNfWzeZQtvvvuhE4hGhF1DY/zhyW3ecz/X2ZU19/T797w4LkPpTkcIKj5rb4p57b1caQP3P7+zbEVThTQFtO9yC6SWtsS8P2IqKWhhCb/RMkyTUEopNXWhCFBFZDHwO2A38D5jjPsbxS0dDupVE/M97u6bbz//sSp9zDkhqDI6LNxVpKoiwry6ai8rmTYwkpjcCk29A3F+t34riZy2WiJ2iP2GtbZN1KuWtXDGYQt5/RHtAPzfw3a50Kvv20gqnf3coOp4d17n0FgqMJhua7IfsZX7NXPC/vMB+NSvnuCCqx+esLXVdAua2/tcwApSlZQ7p7Y6KuT2FQj6OSillKqsig/xi0gLcCt2ruVpxphtvofdIfMl455ot23J2Tfffvj2rfQx5wR/dixshVI7fEuIRiIyrql8fU1pH/vOdT22OCmZJjdkHBlLERX4fZf9CLz3xA4APvSa5fzxqe089FIfX/ntU1x938Zxxw2qjneD6VQ6s+qR35Y9NtO3YkkzH3h1B6u+96B9X86UgNVrujj90LYZWdnLK5Ly/fyfCVmBFGTPqa2riXDudx/IWp41jEv1KqXUvq6iGVQRiQG/AQ4D3m6MeTZnlw1AEjgx53k12AKlx32bHweOEJHGnGOc7Ny6hVeVPuacUF8T9Qp2wtYL1WvS72Qb/dneUnuhukPzoznBaX1NJnD8u2seZXgsRXVUeOcxdgj+tYe00Vpvg/ir7ttIGmiJRamtKlwd7w+mg6ZObNljM31L59VhkKxVqGBms4HedATnmhpjeM4Z4g9DgZSfuwLVkUtauHxVcV0KlFJKVU7FMqgiEsU2sT8FeJcx5qHcfYwxe0XkduA8EbnMV01/HtAI3ODb/UbgM8BHgG86r1EL/C1wvzFmS0iOOSeICM2xKnYPJ+gfCVcGdaevxRQUXpZzIkGV8w01UT7/tiNJG8MXbt5A37DtlpZKG/78zHZWHb+MnUOj4zLL8aRhzT+dyshYOm91vP9ch0aTXpDt8geoHa1144arZzIb2JSTQd0xOMruYfvHSu55h0mxXQqUUkpVTiWH+L8OvBObQW0Vkb/xPTZojLnZ+f7zwAPAXSJyFbAM+DRwqzHmdvcJxpiHReQG4EqnP+mLwAXAcjJN/6n0MeeSpli1DVDDmkF1AtT6migiYEzplfwdrXXj5oKmjOGcI+0c0y/f8iQp5/G0yQyxd/eNUFsdIemrxq+JRhgZS3PC8vl5X6/BH0znnGsilWZ7vx3i32+eDawuW7WS1Wu6qI5EstpVzYTcOag/vjczjeEjP32Uy6d5EYHpVEyXAqWUUpVTyQD1WOf2Hc6X32bgZgBjzDoROQe7ctM3gH7gR8AlAcc8H/gP53Y+sB54qzHmfv9OITjmnBDWXqg7c4b4Rew81IF4suQA1S2yCQoC127eTV1NNOuY7hB7R2vduKKoYrKbDb6pA7nnur0/7rXPWjrPHqeS2cBGX3eE3oE4P/bNs3Wr42dqPqxSSqm5pWIBqjHmzBL2vQ84rYj94sBnna/QHnOucAulwtpmyh3iB9sSaSCenFSz/nxBYEdrHcl08IpQhQLbQqqiEeqqo4wkUuOa9bsFUgBLWjLHqVQ2MNMSK8mLvYN5uxRogKqUUqpUFa/iV7NXs7fcadgyqHZOqH8e5ERr3E8kKAicKAidbHazobaKkcT4Ne7d+adtjTXjqvsrocm31OkTPXvGdTjQ6nillFKTpQGqmjQ3QAnTEH8ilaZvyAao1dFMCVFjgTXup2KiIHQy2c3G2ig7B8ef6yu+AqkwaKy1f6DEE2l+8XA3AFER6muiMz4fViml1NyiAaqaNHc1qTD1Qf3Zg5u97z9x3eN8bVWKVccvyxqOnm7TPcTuNevPk0Fd2hKWADXz38fLfXYVrV9+9GSikYhWxyullJoSDVDVpGXmoIYjg9o7EOfyW5/27o/5CnX8w9Fh11Djnmv2qldbQpZB9feXBXjDkYs46cAFFTobpZRSc0koljpVs1Omij8cGdSunr0kU8GFOo0B68aHVb5zdYukls4LR2byrmd7s+4fEaLVo5RSSs1uGqCqSWsqc5FU70CctZt30zsQz/o+SDptuOrejXkLddz5krlZyTCaaIh/vxBkUHsH4nz1d09nbfvRvS/l/fkopZRSpdAhfjVpzdNQJNU7EA8sMLrh0W5Wr+kiIkIilSYiQqw6QjJtuOzc7AbwvQNx/vfOF3jwpV2ALY6KVWUX6jTW2qr3WTHE72ZQxzIBan884S0pGoYh/u6+EaqjEeK+Ne21rZRSSqnpogGqmjS3SGpoLEUylaYqWlpCvnNdT1aLps+9+QhWLpvHK33DXHTjeicb6q7SZLzsp78BfOe6Hj53UxdjKRsonXRAK9/50HHjgt5yVfGXQ9AQv5s9hXAEqB2tdSTy9IBVSimlpkoDVDVp/iKZwdEk8+prin5u70CcSzq7GE2miWMDnUt/8xTVESGRzh2oz1blZOoAVndmglOAJ3r2AIxbTtQb4p9Fc1D9Q/xugFpTFWFBQ/HXuVwmuxCBUkopVQwNUNWkuVX8YAulSglQu/tGxq08BEwYnAKMJFJ0tNbR3TdC7u410eBh5tmUQQ1aVOAVt0CqJUYkIoHPm2mVXGZVKaXU3KYBqpo0d4gfSi+U2rZ3hGSBYLQ2KhiE2qoII4kkIoIgNltqDPGxNIlUOit7CvmHmZvK2Ad1urnzZYfGxmdQwzC871epZVaVUkrNbRqgqklrqq1CBIwpLUBNpNJ84/bnARCB+uooQ2PZ1fUSEdb846mMjGUCzhe2D/Kp6x9n+8AoX7ili217bVZRsFnHZIFhZjeDOpq0gW11ifNlZ1LQdISwBqhKKaVUOWiAqiYtEhEaa6oYGE0W3QvVrbh/oXeQiMBP/+4k6muq6OrZw9dueyZrPuORS1qyntveFOMLbz+Sf/nlY9zz3E5v+/mn7M87j11WcJjZv+rRUInzZWdag5tB9bXE0gBVKaXUvkQDVDUlzXXVNkAtIoPaua7HK4wCeM1BC3jtoQsBW9T01mOWTDif8eQDW72srev6R3v4p7MPLTjU7A9QB+LhDlDdcx1LpenZPcyy+fVek/79QtKkXymllCqn8I5zqlnBreSfaG5n70Cc1WsywSkwrvF+e1OME5bPLxhodu8eoa46mrWt2lfVn48/QA17oZTbzxXg9V+/mxse7WZbv7uKlGZQlVJKzX0aoKq8Jlq9CTKFUhM16+/uGyEi2dXnbsV9KTpa60ib7OKqYvpvNsySALV3IM537njBuz+aTPOFmzd4HQ80QFVKKbUv0ABVBepc18PpX7uT8378MGdceSed63oC9/NWk5pgiL9jfh0jiexCqMk0dnf7b8aqIzTVVhGrjhTVf7OmKkJtlf24h7kXqrtCk58/rl/aogGqUkqpuU/noKpx3OH4sVQat7jev3qTn9sLdaIiqb9s2u3NG62rjmIwk27sPtn+m02xKkYHx7wlQ8Ooo7WOZM4KTfGEvd8Uq2JgNEFdTTToqUoppdScoRnUfVzQMH533wjRnOH4fPM83SH+gQIZ1O6+YS79zQYAXntoGz//yMncc9FZrDp+2aTPu5j5qrmClhANG3+GuD4nEB0aTRbMZiullFJzhWZQ56jegXjeDKP7WFBrp1XH23ZN/mImyD8cP9EQf+e6Hi66cb3XlP/0Q9rGLUM6U9xeqEMhzqBCdoZ4y+5h/uW6xwFIG5tNzZfNVkoppeYKDVDnoBsf7eaSNV1URSIYY/jcW45g5bJ5dLTWcfezO/j8mi4AxlI2aIxjg1E38GlrqKWxtoo9IwlqokIkInmH45sKDPH3DsS5pLMra8Wob9z+HOcev19FgquGGqfjQMgDVMheoamhJnshAzebrQGqUkqpuUoD1DmmdyDO55ygMJGyQc2lv3mKWHWEsWR63Nr1fm7g89y2QfY4Vflff/+rOPmgBXmDoea6/BnU7r4RcmYKVDS4cltihXmIP1dHax2pSXQtUEoppWYznYM6xzy9pT9wjft4onBwCjCaTNHRWseNa7sBOHH5fN7xqsLZTrdIKqgPakdrHYlUeIIrbw7qaPHLslbaZLsWKKWUUrOZZlDnmNuf3l7ycyJi5ze21FUTFeHWDdsAeN+JExcx+Yuk0mlDJJJJmbY3xThiURNPbu2nOipEC0wVmAnuHNQw90ENMtmuBUoppdRspQHqHLJ17wi/etRWeFdFhNqqSNbcRbsdopEINVFbGPW5Nx9Bc101n7nhCXYMjvHXVz3EaDJNrCrC245ZOuFrusPmaQNDY0lvTqprcMwGg+e9Zjn/cObBFQ2uGmvzZ3vDzj8nVSmllJrrNECdI3oH4nzx5g2MJtMsbKrlxn84hZ2DY4GV+kHZuPU9e7nmgU08u20QgEQqzR+f3DZhK6hmX0DaH88OUEfGUrzcNwzA61csqniA1TRLqviVUkqpfZ0GqHNA57oePtfZxZjTGuqMQ9tYvqCB5QsaOGH5fN56zJJxAWlusHjeKcu55oFN3v2Uyd+c388d4ge3F2pmfumLOwa95vyHLmqc4rucuganr+hsG+JXSiml9jVaJDXL9Q7EWe0LTgF+t35rVuP9Ypra7xlOEKvO/jjka87v52YlYXyrqee2DwAwr76ahY21E7+ZMmt0sruzqYpfKaWU2hdpgDrLdfeNkFucXx2dOLDMFVRZX0zFfXU0Ql21zUz2j2RXxz+33U4XOKy9CcntN1UBbhX/npFEVgCvlFJKqXDRAHWW6+2PF73qUyFTaWeUrxfq804GNQzD+wCPd+8GYHgsxRlX6JKhSimlVFjpHNRZrKtnDxfftB4AARpqq0g6hVCTKUiabDuj5lg12/tHx1XHP9drA9TDFjWVfC7TrXcgztX3bfLux5O6ZKhSSikVVhqgzlLX/+VlPtfZ5RUhfeL1h3LGYQun3CdzMu2M3EIp/xD/8FjSm2YQhgxqd98I1VHB33VLlwxVSimlwkmH+Geh3oE4n795A/4VMH9wz4sVa+LuFkr5h/hf6B30vg9DBlWXDFVKKaVmDw1QZ6HuvhFyYq2iKu7Lxe2F6q/idwukWhtqaAtBBb8uGaqUUkrNHjrEPwstbo6RSocnG+gWSQ341rj3CqTaKz+879IlQ5VSSqnZQQPUWah797D3fUNtlFTaVDQb2BSYQQ1PgZSfLhmqlFJKhZ8GqLPQ3c/tAGx28mvvOabi2UB3iH/r3hF6B+K0N8UyPVBDUCCllFJKqdmlonNQRWSJiHxNRO4UkQERMSJyZsB+m5zHcr++FrDvPBH5oYjsEJEhEblDRI7N8/rvFJF1IhIXkZdF5MsiMi5oL8cxp+IeJ0B9/YpFE64QNRNe3GGzpS/tHOKMK+/klw+/zCt77HzYsGVQlVJKKRV+lc6gHg5cDLwArAdOLbDvWuCbOds2+O+ISAT4HbAS+C9gF/CPwF0icoIx5kXfvm8BbgbuAP7Fec6XgDbnftmOORU7BkZ5cks/AGcc1jYdh5yS3oE4tzy+BQBjIJ5I8+VfP+k9rgGqUkoppUpV6QB1LdBmjNklIu8G1hTYt8cY8/MJjvdebJB7rjHmZgAR+RXwHPBl4Hzfvv8FPAa8yRiTcvbtBy4RkW8bY54v4zEn7d7nbfa0vibKictbp3q4KevuG6GmKkIilWkwmjZ2ZavW+hrmN9RU6tSUUkopNUtVdIjfGDNgjNlV7P4iUisi9QV2eS+wBbjF9xo7gF8B7xaRauc4RwJHAj9wA0nH/2KvyXvKfMxJc+efnnrwAmqqKt8lrKO1blxHAXfl1T0jY7qcqFJKKaVKVvkIp3hvBIaAIRF5UUQ+GrDPccBaY3K7hPII0AQc4tsP4FH/TsaYLUCP7/FyHdMjInsKfQEt7r7ptOHe53cC8LrDFgYdbsb5+4vWVWd/nNIGVq/poncgXqGzU0oppdRsNFsC1PXY4fT3AH8P7AR+ICKfy9lvCbA14PnutqW+/Siw71Lf/XIcc1LufX4HfUNjAJwRkgAVbH/Rey46iy++/Sjqa6JZj1VyAQGllFJKzU6zIkA1xrzTGPOfxphbjDFXYeeEPgR8UURafLvWAaMBh4j7Hvff5tvX3/G+HMf0GGPmFfoC9qbShmvu38iHf2qTswKs3bw76HAV094U45wj20nrcqJKKaWUmqJZEaDmcuZ4fhOoB07xPTQCBK2rGfM97r/Nt68/5VeOY5ZkeCzFpb95iqQz19MQzqFzXU5UKaWUUtOh0lX8U9Ht3PpL2beSGWr3c7dt8e3nbs8dkl8CPFDmY5Ykd/IrZIbOwxb86XKiSimllJqqWZlBdRzk3O7wbXscOEFEJGffk4FBbL9Vdz+AE/07ichSYJnv8XIdc8rCPHTe3hQLxQICSimllJqdQh+gikir0yzfvy0GfBYYAB70PXQjthjpXb5924D3AbcYYxIAxpgngWeAj4qIv6rn40AauKnMx5y0htqoDp0rpZRSak6r+BC/iHzB+XaFc3ueiJwO7DHGfAd4J/B5EbkR2AQsAC4ADgM+bowZ9B3uRmzx1LUi8l/Yav9/xAbil+a89GeBXwN/EJHrgaOBf8b2MX2uzMcsiQCx6gife/MRrFw2T4fOlVJKKTWnyfj2njN8AiL5TmCzMeYAETkBGwgeByzEVsmvA/7LGPPbgOPNB/4TeDe2cv4R4NPGmHUB+74b275qBXaqwNXAfxhjkuU+ZrFEZE9jU3PLi69s16BUKaWUUqE2b9489u7du9fpRDRpFQ9QVWEisqelpaVlz549lT4VpZRSSqmCpitADf0cVKWUUkoptW/RAFUppZRSSoWKBqhKKaWUUipUNEBVSimllFKhogGqUkoppZQKFQ1QlVJKKaVUqGibqZATkTQgLS0tlT4VpZRSSqmC9u7dC2CMMVNKgmqAGnK+hQz2VvREJuZG0GE/z0bndrDgXpWn13N66fWcXrPleoJe0+mm13N6zcXr2QykjTFTWq204kudqgndDWCMObPC51GQiOwBmGpj3nITkbtAr+d00es5vfR6Tj+9ptNLr+f00uuZn85BVUoppZRSoaIBqlJKKaWUChUNUJVSSimlVKhogKqUUkoppUJFq/jVtJgtE9JnC72e00uv5/TS6zn99JpOL72e00uLpJRSSiml1D5PA1SllFJKKRUqOsSvlFJKKaVCRTOoSimllFIqVDRAVUoppZRSoaIBqlJKKaWUChUNUJVSSimlVKhogKqUUkoppUJFA9R9nIgsEZGvicidIjIgIkZEzgzYr0VEvisiW0UkLiJPiMhf5znm+SKy3tlvq4h8W0Qac/Y5SESuE5EXRGRIRHaJyD0i8rbyvNOZUcHreYDzWkFfby7Puy2/Cl7PSwtcTyMip5XnHZdXpa6ns98KEblZRPaIyKCI/FlETpj+dzlzROTVznV6yvl/7GXn/7VDAvY9VUTuE5FhEdkmIt8SkfqA/WpF5AoR2SIiIyLykIi8PmC/vxKRn4vIc87P8a4yvc0ZU+Hr+VUR+YvY30UjIvK0iHxZRBrK9X7LrcLX8648/3deV+z5V5X+ltUcczhwMfACsB44NXcHEakC/gS8CviOs++bgP8TkSpjzLW+fT8JfNPZ//vAMuCTwFEico7J9DVbCiwA/g/oAeqAVcBvReTDxpirp/+tzohKXU/Xz4E/5Gx7Yupvq2IqdT07nePkugxoBP4yHW+uAipyPUXkAOB+IA5cCQwBfwvcJSInG2OeKsebnQEXA6cBN2Cv52Lgn4HHROQkY8zTACJyLPBn4EngX7HX6TPAQcA7co55DfAe7HV9AbgQuFVEXmeMedC338eBE4BHsf+XzgWVvJ4nAA8BPwNGsJ//S4CzROSsgP9rZ4NKXk+Al4HP52zbVPTZG2P0ax/+ApqABc737wYMcGbOPn/lbD8/Z/uNwHagxrlfC+xxPuji2+/tzvPfPcG5RIDHgA2Vvi6z7XoCBzjb/l+lr8FcuJ55zqUDSAM/rPR1mW3XE/geMAoc4ttWj/0FdnOlr8sUruep7vXwbTsUG4hf49v2e+wf4o2+bR9xrtPZvm0n5f47BmLYQOCegM9j1Pn+ceCuSl+P2Xw985zPvzrPP7HS12a2XU/gLuDxqZy/DvHv44wxA8aYXRPsdhr2Q/mrnO3XAe3AWc79o4AW4HrjfEKd1/gtMIj9xVfoXNLYfyTzij3/sAnD9RSRBhGpmcTph04YrqfPBwHBZv1npQpez9OAtcaYF3z7DQO/Bt4iIk2TeDsVZ4x5wBgzlrPteWwmagWAiDQDbwCuNcYM+na9Fnud3u/b9l4gAVzlO14c+DFwuogs8W3vNsakpvcdVVYlr2cem53beSW/mRAIw/UUkaqgKT/F0ABVFaMWSAJjOduHndvjffuBHR7JNeLbzyMi9SLSJiIHi8j/A96CzcjMZWW7nsB/YP9TiYvIgyJyxhTPdTYo5/X0+xDQDdwziXOcTcpxPWvz7DcM1ABHT+pMQ0hEBFgE7HQ2rcROp3vUv58TODwOHOfbfBzwTE6gAPAI9o+jY6f/jMNtJq+niESd30dLReSNwFeAvbmvNZvN8OdzBXY6z4AzZ3W1iBQdd2qAqorxLFCNTe/7vda5XercPo/NvGQVkIjI4cBC335+/w7swA4RfB079++T03LW4VWO65nGzj39DPBO53Y5cLuIvJa5rZyfT3efo4BjgF/6s4VzVDmu57PAsQEFJ6fnHHMu+BCwH5kMtJtV2hqw71ay3/uSAvvB3LpOxZrJ67kC+/voFez/pwK8yxizp+SzDq+Zup4vAl8FPoCdp7reuf+/xZ6oFkmpYvwC+BJwjYj8MzaYfCPwj87jdQDGmJ0i8ivgwyLyLHAL9h/C/2CHBeoCjv0D4DbsB/+92M9kbcB+c8m0X09jzMtAVrW+Uy35FPA1coKIOaacn0/Xh5zbWTu8X4JyXM/vYYstrhORL2GzKv8InOg/5mwnIkcA3wXuwxbbQOa9jQY8JU72e68rsB/MketUrApcz43Y4e4G4DXO97Ny+kmQmbyexpgP5+zzU+f/i4+KyDeMMc9OdL6aQVUTMsZsw2bl6rDVuhuB/wT+xdnFn+7/GHbC9X9j/4K6B+gCfpOzn3vs540xtxtjfmaMeRd2wvVvnGGIOamc1zPndbYAvwReE9QuZK4o9/V0Pot/jS3eW1+GtxAq5biexphbneefBazDZlTfRqbCt+BneTYQkcXA74DdwPucOfWQmdoQ9Id3jOypDyMF9oPgaRJzUiWupzFmyPl9dIsx5hJsx4lbRORVk3wboRGSz+fXsVnpsybYD9AMqiqSMeYeETkIO1+lAdu6yD/U5+63F3iXiOyPrSzfbIzZLCIP+Pcr4EbshOvDsL/E5qQZvJ7d2D9E55GZQzjnlPl6noadLnFJmU4/dMpxPY0x3xGRn2CnSrjz2z6ce8zZSERagFuxRWOnOUG+yx3+DCrIWQJsydk3337k7Dtnheh63oydPvUBZnG7vhBdz27ntnWC/QDNoKoSGGNSxpjHjTH3O5Okz3EeuiNg35eNMfc4v6zmYXvMFVP85A4RtEzLSYfYDF3Pg4AU9q/mOa2M1/ND2LmWvyjHeYdVOa6nk6F60Biz1qlAPwf7S+/p8r2T8hKRGDZjfBjw9oChyw3YorMTc55Xgy0qedy3+XHgiICq55Od21kbJBUrZNezBogyi38fhex6HuTc7iji1DVAVZMjIguxTYD/YJxmvwVcjv0r9Ac5z889ZhVwAXY+y2xt3D0pZbqeh2BbI91jjNlnhgZh6tfTd5xq4H3Afc48333SdF3PnGOeil2c49u+4cZZRUSiwPXAKdhh04dy93GyzLcD5+X8Yj8Pu+jDDb5tN2IL1D7ie41a7KIG9zvTduasSl1PEWl2tuf6MHZIeu1U3lelhOl6OueyGvt/w+3FnL8O8StE5AvOtyuc2/NE5HRgjzHmO84+92EnVr+AXY3iY9g/cD6Wc6zPO8d5GPtX2buxBRYfM8Zs9O16pRNA3YFN+y/CZqpWABcFtLGYNSp4PQ/CZq22AgcD/+A89pnpfH8zrULX0/UmMiuezQmVuJ4icjA2A/1rYBu2rdTHsHNW/3va3+TM+Tp2vu5vgFYR+RvfY4PGmJud7z8PPIBdOesq7Eo9nwZuNcZ4v6yNMQ+LyA3Yf89LsPN6L8BOMbnQ/8JiW8i5beQWAS2+n+2vZ+l86Updz+OBX4rI9cBz2NjodGzh7jrsCn2zUSWv5y9E5JfY/0Masf1UTwSuyPN/7XgmBKsd6Fdlv7DDl0Ffm3z7fAt4CVvBtw07T3RpwLHege2JNuB83Q28OWC/d2Gr97di56PtxgZX51b6eszS6/lB57Ed2ArqXmwbkaMqfT1m4/X07f9L5/PZWunrMJuvJzbIv8U51ih2zumXgVilr8cUr+VdxVxPZ9/Tscu9jmBX5Po20BBwzBi2KG0rdjTpEeCcgP0uLfDaF1b62sym64kNyH7sfC6HnP2exPaVbizX+53D1/NAbOZ1k3O8IewfsReUcv7iHEwppZRSSqlQ0DmoSimllFIqVDRAVUoppZRSoaIBqlJKKaWUChUNUJVSSimlVKhogKqUUkoppUJFA1SllFJKKRUqGqAqpZRSSqlQ0QBVKaXmGBG5RkS0ybVSatbSpU6VUirkSgw2DyzbiSil1AzRlaSUUirkctbQBngt8FHgh8C9OY+twS7PGjXGxGfg9JRSatppBlUppULOGPNz/30RqcIGqA/mPuaTKPuJKaVUmegcVKWUmmOC5qC620RkgfP9ThEZEJGbRWSxs89HReRpEYmLyDMi8q48x/8rEbnPef6wiDwsIu+difemlNo3aICqlFL7ltuAFuBLwI+AtwNrROSzwGeBnwKfA2qAG0Uka06riHwFuA4YAL7o7DsM3CAi/zRTb0IpNbfpEL9SSu1bHjHGeIGkiAB8CtgPONoY0+9svwN4AjuV4BJn2/HA54HLjTGrfcf8tojcDFwuItcaYwZm4o0opeYuzaAqpdS+5Zs5990iq2vd4BTAGLMe6AcO9e37IcAAPxWRNv8X8GugCTilbGeulNpnaAZVKaX2LS/l3N/t3G4M2Hc3sMB3fwUgwDMFjr9o8qemlFKWBqhKKbUPMcak8jyUb7vkfG+AtxTY/8lJnppSSnk0QFVKKVWs54E3Ay8bY56u9MkopeYunYOqlFKqWD9zbi8TkWjugyKiw/tKqWmhGVSllFJFMcb8RUQuBS4FHheRG4AtwBLgBOCt2PZUSik1JRqgKqWUKpox5t9E5FHgE8D/AxqAXmCDs00ppaZMjDET76WUUkoppdQM0TmoSimllFIqVDRAVUoppZRSoaIBqlJKKaWUChUNUJVSSimlVKhogKqUUkoppUJFA1SllFJKKRUqGqAqpZRSSqlQ0QBVKaWUUkqFigaoSimllFIqVP4/VD6bo7plvc8AAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = df.plot(marker=\".\", figsize=[10, 5], legend=None)\n",
    "ax.set_title(\"Retail Sales with missing data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Forward fill method (aka. last observation carried forward)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Apply the forward fill method. This method is also known as \"last observation carried forward\"."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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RFEUJFCpQFUVRFEVRlEChAlVRFEVRFEUJFJrFPwswxrB9+3aSySTZbLbWy6kZoVCIWCxGe3s7IlLr5SiKoiiKMk5UoM5wjDG88sorJBIJotEo4XC41kuqGalUiv7+foaHh9lnn31UpCqKoijKDEUF6gxn+/btJBIJFixYQFtbW62XU3P6+vrYunUr27dvZ/78+bVejqIoiqLMSHoTSbr7huhsa6AjHpv251eBOsNJJpNEo1EVpw5tbW3s2rWLZDJZ66UoiqIoyozkxke6uXD1eurDIdLZLJectZyVK5ZM6xo0SWqGk81m92q3fjHC4fBeHYurKIqiKOOlN5Hkgq51jKSz9A+nSaayrFq9jt7E9Bp+VKAqiqIoiqIoAHT3DSHk53DUhUJ09w1N6zpUoCqKoiiKoigAdLY1kDEm71gqm6WzrWFa16ECVVEURVEURQGgIx7jmH3nAiBArC7EJWctn/ZEKU2SUhRFURRFUTzmx6MANMci/OWzr6tJFr9aUBVFURRFURSPxHAagHTG1EScggpURVEURVEUxUd/MgVAMp3BFMSjThcqUBVFURRFURSPfseCagyMZGpTtlEFqhJIfvaznyEiPProo6POXXTRRcRiMXbu3FmDlSmKoijK7KY/mfZuJ0dUoCoBozeR5JGNO6e9OC/Ae97zHhoaGrjmmmvyjhtjuOaaa3jb297G3Llzp31diqIoijLbcWNQwbr5a4Fm8c9S0pksm3ePX1j+Yf0WvvmnZ4iEhHTW8Lk3Hcpbjlg47vkWtcaIhCv/PdTS0sKZZ57Jtddey+WXX46ILRp83333sWHDBr71rW+Ney2KoiiKohTHGOO5+AGSKRWoyiSyeXeSUy6/fcLzDDvXX//9U3z990+Ne567zz+dzrbGqh5zzjnncO2113LnnXdy2mmnAfC///u/zJkzh7e//e3jXouiKIqiKMUZHMngz4saqpFAVRe/Elje9KY3sWDBAs/Nn0ql+PWvf8173/teotFojVenKIqiKLMPv/UUIJmqTQyqWlBnKYtaY9x9/unjeuyO/mH+5ooHGE7nPpTRSIjrPvEa5jWPTxguaq2+jlo4HOZDH/oQV111Fd///vf505/+xI4dO/jIRz4yrjUoiqIoilKe0QJVXfzKJBIJh6p2qbt0tjVy6crlrFq9jrpQiFQ2yyVnLeeofac/Kenss8/mO9/5DrfccgvXXnst++67L6eeeuq0r0NRFEVR9gb8GfygAlUJGCtXLOHkg9vp7huis62hZp0kjj76aI444giuuOIK7rjjDv7lX/7FS5hSFEVRFGVyCYoFVWNQlZJ0xGMcs9/cmolTl7PPPpvf//73DA4OqntfURRFUaaQxCgLqtZBVZSifPjDHyYUCvHqV7+aI444otbLURRFUZRZi1pQFaVC6urqEBG1niqKoijKFNOfTOXd1zJTilKCK6+8EoAPfehDNV6JoiiKosxutMyUoozBbbfdxhNPPMGll17K+973PhYvXlzrJSmKoijKrCYREBe/ClQlsHzlK1/hvvvu4+STT+bb3/52rZejKIqiKLMeLTOlKGNwxx131HoJiqIoirJXoUlSiqIoiqIoSqAYbUHVMlOKoiiKoihKDSmMQdUsfmVchEIhMpnafHiCSiaTIRTSj7aiKIqiVEtQYlD1W3yGE4vFGB4epq+vr9ZLCQR9fX0MDw8Ti9W2+5WiKIqizEQGRqxAndNYB0AyrWWmlHHQ3t7O8PAwW7duZdeuXYTD4VovqWZkMhmGh4eJx+O0t7fXejmKoiiKMuNwLajtzVF2DaZIjqgFVRkHIsI+++xDe3s7dXV1tV5OTamrq6O9vZ199tkHEan1chRFURRlFL2JJI9s3ElvIlnrpRTFjUGd3xwFIJnWMlPKOBER5s+fX+tlKIqiKIpShq41PaxavY66UIhUNsslZy1n5YoltV6Wx3A6w4jj0m+POwJVY1AVRVEURVFmJ72JJBfcuI5kKktiOE0ylWXV6nWBsqQODOfEaHtzPaBZ/IqiKIqiKLOW7r4hDCbvWF0oRHffUI1WNBp/Bv98z4KqdVAVRVEURVFmJZ1tDWSy+QI1lc3S2dZQoxWNJjGc8m63N6uLX1EURVEUZVbTEY9xcEczACGBWF2IS85aTkc8OGUR/RZU18W/1wlUETlWRFaLyEYRGRKRLSLyBxE5sWDcHSJiilyuLTJnVEQuE5FNzpwPiMgbSjz/iSJyj4gMOs/9XyLSOB1zKoqiKIqy99FQb3PTO+c2ctf5pwcqQQqg38ngj9WFaHLWmsqYUZbf6aCWWfwHOc//Y2AzMAf4MHCXiLzVGPNn39iXgYsKHr+hyJxXAe8Bvgs8D5wH3CIirzPG3O8OEpGjgL8ATwD/BiwBPgccCLxzGuZUFEVRFGUvI5G0LvQsJlCWUxdXoDZH62ioz9VVT6YyNEWnVzLWTKAaY64DrvMfE5EfAS8Cnwb8AnWnMeaX5eYTkeOBDwCfMcZ81zl2NbAeuAw41Tf8EmAHcJoxpt8ZuwH4sYi83hhz21TNqSiKoijK3skex4U+VKPi92ORcNYXj0WI1eUE6lANBGqgYlCNMYPANqw1NQ8RiYhIc5mHvxdIAT/xzZcEfgqcLCKLnHlagDcCV7tC0uFqoB94/xTPqSiKoijKXsieIWtB9ZdzChI5C2qEWCTfgjrd1FygikhcRNpF5FARuQQ4Ausq97MMGAASTizoKhEpXPvRwNMFAhHgIUCAo5z7y7GW44f9g4wxI8BjzjxTOWceIrKr3AVoLfVYRVEURVFmBsPpDMNOEfyhVIZsDeI6x8JNkmqORojV52RWLUpNBaGT1M+wMZ4AI8B/Y93lLi8AtwHrgBbgg8DXgX2Bv/eNWwS8UmT+zc71Yt84//HCsa+d4jkVRVEURdnLSPgy5KE2bvOx8CyoBS7+WlhQg7Az/wH8Dzap6GwgCtQBwwDGmI8VjP+5iPwa+ISIfMcY84xzvMF9TAFJ33n/damx/oJkUzFnHsaYOaXOgbWwolZURVEURZnRFArUwZHgCtS4uvjBGLPOGPNnY8zPgDcDx2Az58vxLayL/XTfsSGsuC0k5jvvvy411t/SYSrmVBRFURRlL8ONP3UZHEmXGFk7PBd/LEJdWAiHBKiNi7/mAtWPMSYF3AysFJFyrRW6nes237HN5Fztftxjm3zjKDN2k+/+VMypKIqiKMpeRjELatDwJ0mJCLGIlYlDe6MFtQgNWOtovMyYA53rbb5jjwGHFcn0P8G5fty5Xg+kgWP9g0SkHpv09NgUz6koiqIoyl7GnmTwLagJXwwq4MWh7lUufhGZX+RYC/A+oNsY0ysiLSISLRgTBlYBWeBW36kbsLGrH/eNjQIfBe41xmwCMMbsdh53doHwPBtoBq6f4jkVRVEURdnLSIwSqAG0oDprjEdrL1BrGZ17nYgkgfuALUAnVvgtwRbHB1gBXCMiv8J2cWrG1hQ9FrjMGPOSO5kx5kERuR643KlP+gJwLrAftvuTn4uc571DRH7iPOdngVuMMbdO5ZyKoiiKoux97BnKt5gGsRZq/ygLqrVj7m0C9ZfAOcCngLnALuAB4GxjzJ3OmI3AvdgyVAuwVtP1wHnGmJ8XmfMc4KvO9VxgLfA2Y8y9/kHGmDUicga2G9R3gD3YlqsXTtOciqIoiqLsRRRaUIdSwXPx5+qg1gF+C+peVAfVGHMlcOUYY17CuvwrnTMJfN65jDX2HuCkWsypKIqiKMrexZ5ksC2omaxhwAk7aIpaYdpQgYu/N5Gku2+IzrYGOuKxkuOqJVgFuBRFURRFUWYhhUlSQwGLQR3wJW3FCyyopbL4u9b0sGr1OupCIVLZLJectXzS1qMCVVEURVGUGc1UWfEmk1ExqAHL4u/3WXhHx6COdvH3JpKsWr2OZCpLEnt+1ep1TFYDVxWoiqIoiqLMWIpZ8VauWFLrZY0i6BZUN0EKbB1U8MWgpkevtbtviLpQyBOnACERstnJkahBrIOqKIqiKIoyJn4rXmI4TTKVZdXqdfQmkmM/eJopLNQfNAuqf33xwjqoRcR0Z1sDI5l8y+rgSMZaUCUUHvWAKlGBqiiKoijKjMS14vmpC4Xo7gteh3G31anTPTRwdVBdC2okJESdDlKei7+IBbUjHuPzbz501PHBkQxSHytscFQ1KlAVRVEURZmRdLY1kMrmW/FS2SydbeW6pdcGt8xUe7PtPzQYsCz+AV8NVBGrohvGKDN1wgHzvNvffN+RvjMy4fWoQFUURVEUZUbSEY9xyVnLPTkUErjkrOWBS5TKZo3XRnRhq13bYA2K35cjVwM1l57kZfGXsPb2DY4A1up6wLwmGusn7Nn3UIGqKIqiKMqMZeWKJV7dzuMPmBfIBKmBkTTGyR1a0OII1OGAxaAOlxaoxVz8ADsHrECd21RP57xGsmaycvhVoCqKoiiKMoNJZ7L0O+7yVGb6Ox5Vgr9I/0JXoAYtBtVZo5sgBXixqKVc/H2OQG1rrC+wZk9cqKpAVRRFURRlxrJ7KFe+aSBgVkkXf5tTz8UfsCz+/mG7Rr8FtaG+fCepnYOuBdUW9l+5YgnNsQhmJNk/0fWoQFUURVEUZcayyy9QAyb6XPxF+jviTpLUBCyovYkkj2zcOanltPq9JKk671gsUl6gehbUpnrvmACY7ITNw1qoX1EURVGUGcsux4oHwetv7+JaUBvqwrQ2WAE4XoE6VmOC8XbVSnhJUrlEJy8GtYRA3TVoX9fcxvqi5yeCClRFURRFUYoyE1qI7hzIWVD7A+rid7tIxWMRmhwX+uBIGmOMV9KpEnoTSVZ1rSOZzm8vevLB7XTEY3St6eELN64l5Mx56crlnHxwe0XvYX+RJKmGeutoHxrDgqoCVVEURVGUaWGmtBDd6bOgjqSzpDJZ6sLBimB0rZMtDXVeXGfWwHA661kpK6G7b4hQKF/Q+hsTXNi1jlTG4CYpffbXj1MXCRENj/0e5spMFXPxZ4uK6VwM6uQL1GC9g4qiKIqi1JyZ1ELUdTO7BK0APuS6SMVjEZrqc7bBat38nW0NjKTzM+pHMrYxQXffENlsfva8wYr2St5Df6iES9QnnofTozP5czGodaPOTRQVqIqiKIqi5DGTWojuLBBW/QFMlHLLTLXE6vKK2VdbdaAjHmPZonjesbcesZCOeIxICFLZ8uWdSr2HXWt6eH7bAADfv/05utb0ALlOUjA6DtUYk7OgToGLXwWqoiiKoih5zKQWojsLLKhBLDWV8MWg+gVqqdjOUmSyhpcdgTm30Vot/7phJ6lMlusf6fHGNUcjRCNCuCAcoNh76FrLvTEZ41laY3U5mVhYC7V/OO2EE+Rn8U8WKlAVRVEURcmjIx7ja2ce4d0PhySQLURhtGs6iIlSbpmploY6Gn0u/mrF9FOb93h1X//fB1cQEnhl1xA/ufslfv1XK1A/+8ZD+PnfHs/dX3g931i53HtsXbj4e1jMoupaWmNlLKj+5DS1oCqKoiiKMi2cfliHd/udRy4OZIIUjHbxBzIG1WdBjdWFcHONSvW4L8W9z28HYMncBk4+uJ23Ll8EwGV/eJqRTJa2xnr+7tQDOWa/uXTEY7zv2E5ed0g7AKcf2lHiPTSjrKOupTXPxV/Q7tS/72pBVRRFUZRZwFQUWp9stvfnBIiZhNaVU0VhklQgLai+GFQRodERfgNVCtT7XtgBwIkHzQPgH153UMHzpPj9us15x96wbAEAj2zcOSqJqrtvkH/79ePe/eZomFhdyLO0+i2ohWK6zxGo9eFQXtjCZKFlphRFURRlGula08OFXesIh4SsMYEt37S9f9i7HcS4TpdCgRrEtboxqC1Okf7GaISBkUzZdqeFNWhH0ln+uqEPgJOWWqtoR0uUkNiSVQDprMmri+ofu2NghKe3JDh8cQtgP4efv34tGWMf/NET9+cdr16cVy81Gikdg7pzINfmtJparpWiFlRFURRl1hB0y6SbkDKczjI4kgl0+aZ8gRo8t7lLoYs/iO1OvRjUmLULuhbHUmWmutb0cPJlt3P2Tx/k1Mtvp2tND4/37PLGv/ZAa0EtjBOF0Zn6B7Y3sbjVCk43RKA3keQLN+bEKcCv/vryqGL+oZB4IrXQxT+VRfpBBaqiKIoyS+ha08Opl9/OeVc+5H2pB42ZVL7J7+IvZ+mrJUMjGa8+p5uwPl1iupofQ54F1elz7yZKFROobreokYIfMX9+YisASzua6WixIrKzrYGsyXfbF2bqi4hnRb3HEagvbusnXeDuL/U59NqdjhSPQZ2K+FNQgaooiqLMAmZKYfnOtgZGMjOjfJPfghrEuE7It54udETbdLj4b3i4m5O/cTvnVvBjaDidE9HxQgtqkbV29w2NKg8lCPc8vw3IxZ+CrbZwyVnLidWFiEcjefGjfk4+2ArUB1/awXA6wwMv9FGga0t+Dt1SU6MtqFZ0T0UXKdAYVEVRFGUW0N03RKREC8gglUbqiMf47JsO5ZLfPwVAJMDlm3b4BGq1HY+mC79AXTK3kU27k1MupnsTSb7QtY5M1ng/NgrjPv24bU7BF4PqCtQidVA72xq8+qIuQ6kMz2xJAPCqxa1551auWMLJB7fnxasW4lpQk6kstz+9jZ/dtwGw5cMa68JeG9Rij3Uz+UvFoLZNkYtfBaqiKIoy4yn2pR5Uy+TxB7R5t89+zX6BTJCCfBd/UC2oboKUCCxsnR4L6mMv7yJTwj1eTOC5bU6hMgtqRzzGh47fl6vu35B33P14f/nm9dSFJe9z0xGPlf2R094cZdmiFp7avIfPXf8Y/cMZmqMRbvyH19I/nCkpbCHn4i/M4ve6SAXVxS8i7SJy8GQsRlEURVHGQ0c8xj+fvtS7X6ooeRBwLU9AgIs3jbagmkKfcABwRVJrQ50n/qba2nvb072jjpX7MZRnQXViUJvKxKACLF3QDMDClij/85EVeeeG0+MLX+mIWyHZ78TonnpIO4cubPFqppYi6lpQS9RBdTtaTTYVC1QROUdErig4dimwFXhaRO4VkXjxRyuKoijK1HKczzL5xbcvC6xlss8nUINYEsnFb0HNZI0XRxkk3DancxvraY5a0TcRa+9YiU87+oe56bFX8o5FI8XjPl3cIv3hkHiW04Yxsvi3JeyPg862RtrjsVF1RqtNrOtNJL0aqi63PdVbkchtcGNQC1z8bgzqVCVJVePi/yTwjHtHRI4FvgDcBTwNfAz4N+A/JnOBiqIoilIJu32u1Eg4uDnA/rjJoMZ2GmPY5rOgghXThSWNas0uR+zPaayjyRGo4xX9XWt6+MKNa4mEBANF69Neee9LJFNZmurDXpH9n5xzLKccMr/kvG6JqXgs4tULdddaqjqCu/fz49GKMvXHortviGgkTCqTe766cGUx2l4Wvy9e1hjjs6DW3sW/FFjru/8+oA94kzHm74GfAO+fxLUpiqIoSsX4Y/2qbSE5nfgtqEGN7ewfTjNSYDENopj2W1CbJmBB7U0kubBrHamMYSiVLVoF4sVt/fzsng0AfOyUA2l1Ep52DqWKTemR8LU5dWkYo5OUa0Gd3xytOFO/HJ1tDaSz46seEYuMFqh7kmkvDjcIFtRWYLfv/huAW40x7l/aw8BHJmthiqIoilINe3yxfkEUUy5+gRrU+qJ+975LEMX0rkGfBXUMt3k5uvuGKGyG5E986lrTw/k3rPVqh85vrmf/9iYe797Fhu0DZefeU1ADFaApWjzxyMUTqPEoUFmmfjlckbtq9TrqQqGyWfuFeGWmfALVH0cdhDJTW4CDAURkPnAU8DPf+WYguP8jKIqiKLMav4t/qEj5nqCQb0EN5jq3F7j3IZhiepfzns9pqJ+Qi79cFQjXuuovbP/13z/F6Yd28Hg3vDSGQHWTpPwCtcFJkirV9apQoMLYmfpjMV6R68bLDvliUPt8YSpBKDN1G/BPItIHnI5NPvyd7/yhwCvFHqgoiqIoU81McfH7Y1CDmiTlZvDHoxGS6QypjJmWDk2F/efHwp9JPpEkqY54jKXzm3hma7937EvvOJyOeIxHNu4sal11XfwvjmVBHRrt4netvcU+p/74X79AnQzGI3KjRVz8ruU6VhfyBOxkU41A/TJwInC5c/9rxpgNACISAd4D3Dipq1MURVGUCnFdqRBMa5/LTHDxb3Nc/O3xKH0DI+weSk25mO5a08OFXesIh4Rs1nDJytFJSoW4dVDnNOUsqMPpLOlMtupEub7B/FjSOQ3WMtjZ1jAqHjeVzbJ8n1au/Ws3L23rxxjjJUAV4llQG3IWVDcrv9ie7knm4n/nN9e+TFqxJCmvi9QUWU+hiiQpY0wP8Crg1cD+xpgv+043Ap8gJ14VRVEUZVrxW1CDHIO60yeEghjXCbDdcTHPa8qVbyqV0DMZuK1qh93+8xXW+vRbUP2lmKpda28i6bnV3Zapf3lqKwDDqSyud7+hLuwlKb26cw5gBaX/R0che4okSTU6Lv5ioSjuOmDyLajjoaGIQHVjUKdSoFbVScoYkwHWFTm+B7h5shalKIqiKNXilvOB4Lr4M1njuUfB1pYcj7VvqtkxYEVSe3PUi+2dSguqbVUbAnKWyrFa1Wayxlubvw6qu9bWhsoLyD+12bYRDYeEj518AF///VPc/kwvmazh+kd6AGhvrueHH17B/u1NdMRjeT8uNuwYYF5zTkz6QxX2FIlBdcV0KmMYSWepj+Tef3/877zmqROAlRIrUgfVjUGdqgx+qFKgikgY+DDwJmABcL4x5lERmQu8E/iLMUbjUBVFUZRpx+/iD2qS1O6hFAVdMhlMZWgJmEDdnnBd/PVs3lM+oWcysG70/PdsrDJIe4ZSuOVB/XVQoXox/cQmW6Ro6fxm3rp8IV///VPsHEzx8IY+bni4G4D3H9vJ8QfM8x7THI3QEY/SmxjmxW0DHLOfbRTRtaYnL1t+riOU88pM+ay9QyOZPIHqWlDbmuqpC8DnopiL37OgTqFAraaTVCNwJ3AVcCbwemCuc3oP8A3gH6qY71gRWS0iG0VkSES2iMgfROTEImNPFJF7RGTQGfdfznoKx0VF5DIR2eTM+YCIvKHE89dsTkVRFGXy2T0DXPzFXMFBTJRyrXjzmqI0R92+8VO3px3xGCcubffuizBmGSR/spmtgzp+F/+Tm/YA8KrFLSyZ28hhC21jzEt+/xSbdtswg/cd2znqcQe0NwG5TP7eRJIv3LiWZCpLYjhNMpVl8x67l/4YVLfVqV1r/vvvCtT2AFhPIefiH8qLQXUsqFPU5hSqK9R/MXAscBZwIOBFAzuu/y7gzVXMdxDWgvtj4J+B/wQ6gLtE5I3uIBE5CvgLEMN2qvoJtqvVdUXmvAr4DPBL4NNYX8EtIvJa/6AAzKkoiqJMMjMhi98vqlyCKFB3DOSSpNx4yamOl31lZ651Z3tTdMwEKX8s79zGehrqwoQcZVLtnj652QrUwxe3AHDGsgUAPN5jLavH79/miVE/hQK1u2/IK2BfiPF1g/LHyxb+mJqqDP7xEi3i4vdifwPi4n8fcIUx5mYRmVfk/PPA31Q6mTHmOgrEm4j8CHgRKwT/7By+BNgBnGaM6XfGbQB+LCKvN8bc5hw7HvgA8BljzHedY1cD64HLgFN9T1WzORVFUZTJJ53J5lnNBlPBE32QszxFQuLV1ZyO8k3Vst3rZJSL7ZxIxYGxykd19w3yXG+uxFPf4AiZrCEcKp4ZD7lSR9FIrtRRU32ExHC6KjE9OJL2BObhi6xALXzaAztGi1MYLVAjIUaFcLh86ab11IVDrFyxhEZfOELhvvq7SAUB18U/7HfxOz8OpjIGtRoL6mLg8TLnB4H4RBZjjBkEtgFzAESkBXgjcLUr+hyuBvrJb636XiCFtVy68yWBnwIni8iigMypKIqiTDL+LlIQYAuqI1AXtsa82ppBs6AmUxkSzprmNUd9JZHGt6dda3o45bLbOffKBzn18tvpWtMzaswdz24DcsIwkzVeolYp/G1OXcZTrP+pzQkvlvXwxS30JpJccdeLeWNWr3mlaEUBV6Bu2DFANmt46KWd3rn6cL7KHckYrzKB6zaHIhbUIkX6a0kxF7/7OZ4ThDJTWOvgPmXOvwrYVO0CRCQuIu0icqiIXAIcgXWVAyzHWnkf9j/Gaa/6GHC07/DRwNMFAhHgIWw4wlEBmTMPEdlV7oJtMasoiqKUYU9BP/SgClQ3+3leU70Xhxi0UlM7fHGy7c3RnOgbhwXV7cI0nM7SP5wp2uMe4I6newF43SHzc4/dU16g+tucujRGy/e4L4br3t9nTgNzGuvp7hsalZxUH7YVBQpxBWoylWXLniT/t9bKoPes2IeL33UEDXX587iVCcIh8bLjS1pQAyJQXQtqOmtIZ7Jks8Zz8U9VFymoTqD+BfhoiUSiA4C/Bf4wjjX8DGs1fRr4LPDfWHc5wCLnenORx23GWnXxjS01Dt/YWs+pKIqiTDL+DH6wmfH+mL+g0NefK8/TOIHe8VPJdl8dzvbmnJAeT5JUMVHnijSXZCrDvS9sB+DMo/bxMtrHqoG6q4gFtXkcFlQ3QWqZ497vbGsglR1dmL9YRYF95zV6lvC7nt3mxay+95hOzji8g8JPoH8eN7Y36DGoMZ/ITqaz7EnmKlHMbQpGktR/YLP2/4rN1jfAW0TkUmANMAxcOo41/Ae2bNXfAvcCUcB9xe6nodjPqKTvvDu21Dj/XLWeMw9jzJxyF2B3qccqiqIolt0FFlRjbEehoNHnSy6ZSGtOl95Ekkc27hxTzFWDm8FfHwnRHI142fHjWaftcV9e7D34Uh/JVBYRa0Fd0GKF2dYxLKi5RJ3R2fHVCVT7NfsqJ0GqIx7jkrOWE6sLEY9GvML8xWJno5EwS+ba1/KjO18ArLA8/oC2MefxfqD4hH8ma7w2s0HoIgXkhSMMjWTyKlEEog6qMeZ5p7zSlcBXnMOfc67XA2cbY7qrXYAxZh1O8X8R+SXWTX4VNv7T/YlV7GdEzHce53apcfjG1npORVEUZZLxF+l3GRzJeO7JoLBzIOca9dzR4xSohfU2Lzlr7NaglbDDsfLOb44iIp6LfzxJUh3xGHMb69jhtMYURpeP+p3jFj9icQtzm+pZEI/R3TfE1j2VWVDnFIlBrVRMpzNZnt5ii/S7GfwAK1cs4eSD28smdrkc0N5Md98QG3cMAvC2IxZ6yV3l5slZ0HNr7RsY8ayTwbGg5v6GkqlMXiWKdGbqvBRVVYA1xjxijHk1cCQ2Y/8DwDHGmCONMeUSqCqdP4XtSLVSRBrIucwXFRm+iPyY181lxuEbW+s5FUVRlEnGdfH7s76DWKzf7fc+1xeDOp4Wom5sp7/eZrnWoNVYWl0Xs1uH0xVS/eNw8fcNjHjiFKzr9YQDc4WAutb0cP3DNmnqqc0Jutb00OFYUHsTFVpQfTGoTVXWbH1k407P0u5m8Lt0xGMcs9/csuIU4IB5+ZGPbz8yP6qv1DyNRd5/fxepoAjUqM/FP5zO8Lu1uWjGN37nzqJJb5PBuFoUGGPWG2OuN8b82hjz6CSvqQH7IyuOtcymsfVXPUSkHpug9Jjv8GPAYSLSXDDfCc61K6BrPaeiKIoyybgu/g7fl/rQFHY+Gi+eBdXf434cFtRKYjtd3Cz6D//kAU69rHgWvR+vSL9T5siLQR3Hfj7WbbPaIyHxWo/e5iRE9SaSXNC1zovTTGdtlru7L71jWFDLZfH3l1mrK9avuvclPvLTB73jD720o4pXlsNfH7W9uZ5j95tbZnQOV/j7E/rcBKlISJhTRavWqcTv4n/ylT1cff9G7/5YP4wmQs16aInI/CLHWrD1VruNMb3GmN3ArcDZBSLxbKAZuN537AZs7OrHffNFgY8C9xpjNgEEYE5FURRlknGz+DtaclaqoCUfga9FZGO9VwtzPAK1s63Bq6PqUiyRpzeRZNVqm0WfTGVJpscWFK6L37Wg5lz8GbKlinyW4NGXdwHWfX76ofZr/7antgJWZBfOVxcKUR+2gmisGFQ3i7/VJ+TGEv1da3o4+Ru384Er7ufi3z5Jyueivuim9eMSWpt25R6zczDFTY9V1vE9Z0HNrTXXRSpKqEwN2OnkD+u3eLc/dd1joz53pX4YTZSSMagi8mKpc2UwxpiDKhx7nYgkgfuALUAnVvgtwYYOuFzkjLlDRH7inP8scIsx5lbfEz8oItcDlzv1SV8AzgX2A84reO6azakoiqJMPq4FdWFL1HNtBU2gDqf99UXrvRai43Hxd8RjHNje5BW3F+BrZx4xyo3c3TdEpEDouILCHVtYRH97f04kAXktRAdTGU8EVoIrUI/unMMx+7dx02ObuO+FHQyNZEimMkVF9lKnKP5YMag5F7/PglomScoNixjJFE+eK9yXSuhNJPn5/Ru8+xnHCnzywe1jzlPUghqwDP7eRJIv3by+7JhSFQ4mSrlP2cswqkLCZPJL4BzgU9jqALuAB7DJVne6g4wxa0TkDGznpu8Ae7DtUS8sMuc5wFed67nAWuBtxph7/YMCMKeiKIoyibiF+uc21hONhBhOZwNXC3VXQWvO8WSc+0n4mhMYYF4RUdPZ1sBIunQWfdeaHlZ1rSMcFjJZwyVnLR/t4vd3PRpOVyxQM1nDY927ADh637m87uD5hEPCcDrLfS9s51cP2bxqwVo+3UQvV9ht7x8u2U0qmcrkWm9KTqo0eYlno9/77r4hQlLaKjkeodXdN0R9OJRXMaJSodtU5AdKzoI6ddnx1dDdN0RdKEQS/+sTRIRoJDTqPZtMSn7KjDGnTfqz5c9/JbYiQCVj7wFOqmBcEvi8cwnsnIqiKMrk4rr4WxrqaKwPW4EasCSpwvI8jRMoM7UnmWKLY2Fsb65ne/8IV9+3gdMP7cgb1xGP8frDOvjDE9atHpJcFr3r/k+mszaLAli1eh0NkbA3L+Ssku5a85+hNC9s6/de29H7zqG1sY5j9pvLQy/18f9ue94Tr5esXM4hC+KeBfe5rTarPmtgR/9wXtiGyzUP5uIg/+l/H+XSlbaCQbmmAjYsYrT1tCka9sR5tUKrmpqphTTU2bUOFXHxB8WCWuz1hcNC1z+eyNBIdswKBxOhZjGoiqIoijJZuC7+1oY6L6kjaC5+N/5UxK7TdfGPJ/noBV/f+vPffBhg24Vu3DEwauyIL87yoPnNXikq1zrmR4Cdzl66veAb/S7+Kvb00ZdtglRbUz37ttlM9zccZuWtK05ftbiFvzm2My/L3S9Ii8Wh9iaSXPL7p737w7642nKtTjviMd56xELACvVYXYiL33k4V//tCdx1/unjKtFVTc3UQopZe4MmUEu9vsMXtVZU4WAiVB5IoiiKoigBxS0z1RKL0ODF9gUri98t0j+noY5wSHxiqnoh7caezo9HWbliH75767Ns2p3kW396hi++43BPOBhjPKEI+W1MixXRH0rl7ovjDvdbUKsJR/DHn7pzZQu6e5144LxRyUAtsYgXpmGTlmzHbzdW9pqHNpZM1Gkeo6nAolZr2Vy+Tys/PvfYSRFY1dRM9eN+TgdTRWJQm4MhUGH8r2+iVGVBFZGDROT7IvJXEXleRF4suLwwVQtVFEVRlFK4hfqti794C8la42XwN+W7zsfj4n/eEahL5zcTCYc4at85APzm8c2c4isltXHHoFeOCWyYwXDa7ktHPMZn33Royec472cP0bWmJ69vfDHXeSlcgXpUp11bbyLJf936XN6YXzy4cVTmvIiwwLGiuhbUrjU9nHqZzb6/8ZHRWfKuW91975OpLJkiFQfc2qoHdTRPqtCqtGaqn1wL2WIu/mB0kXIZz+ubKBULVBFZjm1p+nGgHjgQGMB2StofyGATqxRFURRl2jDG5MWgNgS0x71rvZzXVFC+aQIC9eAFzfQmkvzlqV7vnN/l/ahTh9SfG9Trc5sfuaTVu/2t97867znyXOf1Y1t7/c0AEskUz/baWNKj97V1Qbv7hqgL58uOUiWKcu1Ok3mxsv6yUNHIaLe6P4GrmJh2KwMsKBLXOt0Ufk6H0xkvVCUoLv5aUo2L/yvACHA8sAPoBT5tjLlNRP4OuAQ4c/KXqCiKoiilGU5nvdJBLbFcDGoyYElS/hqokJ/Fnc2aqupePueIv6UdzWUzyV0r5nH7tfHQhj7AirROJyZ0024rDtubo+w/r4lYXSiXHe+bpykaYcfASNn6ov62q+8/dgmuN//ITiuCq0kocuNQexPDRTPJ49EI3/nAUcxtrM9zO/srDgwMp2mJ5Re7dy2oHQEQgIUNENz6s6ACFapz8Z8MXGGMeYZc+SkBMMb8GLgF+MbkLk9RFEVRyuNaTwFaGyK+HufjF6iVtgatpoWo2+a0rWl0dvxgFWJ6aCRDz04rLJd2NBcVfsMZK/xcgfqaA9u8gvZbfPVF3SLz+8yJFRWKOdd56ZqtvYkkqwrarl59v3WoCnDrk7aCQDUJRa6A7N2TtKWyMqOF7ZFLRifqNNXnErqK1kJ1Xvt0uqpLUfg53eZr7aoCtToLahxbqB6sJRWgyXf+XuDSyViUoiiKolTKbp9AnQwXf9eaHi7sWkd9OFfnsViGtzsuHBKyxpQc5zIqBnWc9UVf2NbvWSeXOrGUl5y1nFVd6xjOZDEGXntAGy2xOp7avAewbvY/PrGV3UOpvMz4Tbus0F3U2pCbx2cJLXSdFwtH6O4b8pKgCjGQV7i+0oQbLwY1kaQjHuODx3VyldNiMxYpLWzzLaj5738ylfHq5Xa01F4AugJ1OG3jZV2BWh8OVfV5mK1U8+q3AgsBjDEJERkADvGdnwuEiz1QURRFUaYKN4MfrIvf69CTqj62szeR5As3riWVMZ7L/MKutbQ01HHkkta87kurutbludXH6iDk1kFtK3DxQ/X1RcGWqnKzvV3h991bn+OaB19m3aY9rHl5p5ftflTnHDpaojyzNZHXoWnzbnt78ZyGvHkKBWRjmR73xaoB+CksXN8Rj41pwczFoFrRFnLKYS1bGOfnHzu+5OMb68OIgDGjLaj+2NsFgbCg5iTYyzsG+OOTtqVoKpvl1P+8fcwfPLOdalz8jwHH+u7fCXxaRE4VkdOAfwavw5yiKIqiTAtuBn99JESsLjyhOqjFEnaG04ZP/epRTr08lx3f3Tc0KmZ0rJ7kfWUsqJUmHwE8t9XJ4O9ozrNcdsRjfPoNBxMS+1zf/OMzABzQ3sTcpnoWOlbJLbv9Ln673sVzYnnzlHKdDxZZZ0c8xumHzgeKi4rxdGhyn3tH/zDpTJa/OvGzr1/WUVbcikjJ6gj+MIwgWFDveX6bd/uN37mTGx62ny1jbBUCN0Ftb6UagXoN0C4i7qfsS9jiZLcDfwHmAKsmdXWKoiiKMgb+Iv0ADfVuh57yArVY/KjtNjS6PNHgSCZPNIzVQrQQY4xXB3VekRjUUuWbutb0cOrlt3PelQ95AtnL4O9oHjV+QUvM6ya1xleHFGBhq1u6qZhALS8gyxXAh5zofu3Sdi5+5+HjKlyf/zqsgMwa2Ng3yBObdgNw3P5tYz42Fy9bKFCtBTUeixCrq63DtzeR5Lu+klvp7Oje8mP94JntVOziN8ZcB1znu/+oiLwKWIltknaLMebFyV+ioiiKopTGX6Qf8Ln4SwvUwqxz1506vzlKfUgYzhjqwpJX1ghyouGY/eZy4Pwmnt2a6+j0tTOPKCnEBkcynqB1xZxbXzSZyhZP6EkkudAJI3Az2FetXueJt6VFBCrA3xzXyV+ezpWdWtph00U6WvIFav9w2ovJXNQ6Rt/4EqLPZYvjPj98UZzzTjqAtx25aEKF3f3dpP6wfgtZY7s/HbPf3DEf2xyN0JsYHmWV7g1QiSm35NZwunRoxHgsz7OJCUXgGmO6gf+apLUoiqIoStXsKbCgjpXFX0r4nXxwOyPpLMOOKP3S2w/n679/Kk9EuKIhmcqwccdg3rzLFreUXGOfr4OTG4MKVkwlUyNFi/UXs55FQiF6+nIZ/MU4/bAOmqNh+h2B9t1bn2dha0POxb8niTGGzbty8+9ToQW11J5u3Z0v/iqJMy1HPBqhoS7MUCrD/63dDMCyRS3EC8pGlVtroejfGqASU9ZSny9OIyEIh0J5yXlBqDZQK6rqJOVHRCIicqKIvM+xpCqKoijKtLPbV6Qf8GJQS7n4u/uGMKa4ZfSZLba+aH04xAdP2JdLVy6nLpyL8/zyO15FRzzGmo07PeE6p9E+78MbdlKKnYM5gZrxCZNywq9YuMFIJkvGl8Ff6rn8LUtHMjY0IeoUyU+msuxJpnnFEah1YaF9jNaa7jpLdb1yS1ctHMMSWyki4sWJupUIKnHvg7/HffEkqSAI1GIlty5/76u5+wunc9XfHs9d55++VydIwRgCVUROE5HviUhHwfEDgEeAu4FrgbUicuXULVNRFEVRiuO1OY25MajlXfzFhJ9rGX3aEagHdTRTFw6xcsUS/vSvpxJxRKorfu55fjsAr1rcwklL2wF4eGNpgfrbxzd5t9/6X3d7yVaN9aVjOzviMVY4LUxdDppv3fUNdWEWtxa3enb3DXmtSV3qQqG8WqJb9yS9DP6FrbExmwQ0lkmSGhrJdUAaK1SgGgoz7Y8/oEKB6iVJFbj4nVjjjgC4+MFWTLjr/HxBWouWokFlLAvqecCbjTG9BcevApYD9wHfAZ4EzhWRcyd7gYqiKIpSDjcGdbSLv7i1ryMeY1+nkxJAfVg8d6orUA9bGPfOHzC/2Us8ct3NrkA9eWk7xzpxkY84meaF9CaSXHXfBu9+0tdCtNkRvKUsk24yj2vEfWqzXd9+8xpLisrOtoZRfehT2SxH7NNK2HnMlt3JvBqoY1HOguov/D+Z8Z2FmfaVW1DzOzS5bAuQi99FBWlpxhKoxwN/8h8QkcOAU4C7jDGnGGM+54x7DjhnSlapKIqiKCXIufitMGmos9fJVJZskYx8IC+u9JzX7u+5U5/ZYt3JfoEK8I4jFwFw5zPb6O4bZN0rNqv85IPbOXY/K5w2+USfn+6+IQqX4W8hCqVjO92SUJ943UFEIzlB+uzWhGeFLaRUx6aFrTFPnG3dk/R1kapAoNYXF33+NbrPPVn45zqgvani7kqlxLSbHBYUC6pSnrGSpBZihaef07DVEH7iHjDGDInINcC/TOrqFEVRFGUMcln8+RZUsG7+poKOPKlMNq/U0jNbrVVyOJ3hhW0DABxaIFDfsGwB0YjNuv7K/z2JMbbu6nH7txEJCY31YQZHMjy8cSfvKhB8L+8YKGrR7GxrKFmz08W1TnbObcRfCz9ryjcGKFVwv6MlxubdSUeguhbUsQVbY7R0q1N3L9ub66mPjDu1ZRQLfBbUI/YpnYBWSHORGNSRdJadTqvZIFlQldKM9UmKAoU/B49zru8sON6NrYuqKIqiKNOGG4Oaq4OaE6jFLJNbdifzLJqPvbyLTNbwQm9OSB62MF8QNUcjnpv/z05v+WP3m0usLkwkHOIop9ZooZs/mcrw7VufBWyZpMLaoKUSeuza0ySS7nHjJX+5jFUns5j7eKEj+rbsSbJ5d2U1UN3XD1boFXaN2jJF5Zte9lVJ+MP6LSUtxoXk4npz7/22/lwXKRWoM4OxLKgvA4UZ+icDvU6JKT+NwK5JWpeiKIqiVESpLH6wArGQQjd8YjjNc70Jntlq3ftzGuvyrHcubz9yEX94Yot3/yhfAtOx+7dx3ws7+Ksvk783keQ///C0U/NS+N+Pv4ZwSPJbiBYRUy5bfa05X7W4hVS28sYApch1kxpmk9fmtAILql/0D2dobczZt1wX/2QmSPUmklz/SE5mpDJmzFayLq6Y9tds7fVZzNXFPzMYy4J6N3COiBwBICJnAQcDtxQZuxx4ZXKXpyiKoiilyWYNiTIu/mIW1E2O5bC9ud4rr/TIxp087SQgHbogntdC1OUNyzrwe7B/ctdLnlXPTZR6esse+ofTdK3p4ZTLbuf6R+zX4usOmc/xB7SNsmg2l+nQ5I/tXLaotWhcabUxn644e2rzHq9xQDUWVID+gjjULbsn34La3TdEfaQ6i7FLsTqorthvqg/nvRYluIz1Ll0KfBh4XER2APOAEeBb/kEiEgbeBdw4FYtUFEVRlGIMjKQ9d30uiz/31VYsqcefHLSwNcYfn9jKIxt3sqPf1ipdtqh4vGP/cDovNMCtL3rywe0cve8cQmJjQ6+8+0X+3+3P53Whuvu57fQmkqMEZamMc8jFds5rsrGdpeJKq8G1oL7isyJXksWft6cFYtqrgTqJArVYIftKLcZNXmUEn4s/YCWmlLEpa0E1xrwEvA74PbADazk9zRjzRMHQ053zN0/FIhVFURSlGK57H3JZ/FGfmbNYsf6enVac7TO3wWuduWbjTq9If2GClIutL1rcqheP1XkWxG/f+tyoFqn14eLWv6YyZaa2FontnGhZosJC+s3RiNcithzuOout1VvnJLr4S1UiqOR1u4lniWTKq33aG8ASU0p5xvxUGmMeBt45xphbsS5+RVEURZk23AQpyFlQQyHx2mQWdfE71sPFrTmBusGXkFNKoHa2NZA1xbPxexNJTwQVo5T1r6lMDOpkd2cCRsXWLmqNFQ1nKKShLowIGJMfNpHJGu91T6YFFUpXIhiLNU7DhOF0llMvu51LVi7XElMzkMmrB6EoiqIo04zfguqPLWws003KE6hzGnjV4lbqw/lfhYcuKC5Qy1n1bMzk6K/UxvpwWetfU5GEHpdiFtSJUjhXJfGnYFuPNhXperW9f9irfDCZQtqlWotxbyLJT+55ybvvNkXodqzmakGdOWiksKIoijJjcWugNkcjRHxCs6E+DAOjXfzGGC/+cvGcBmJ1YY7Yp4U1L+8CYN+2xlF1U/2Usup1tjVgCqyr0YjwvQ8ezZFLWksKLH+ZKWNMnjUzl3w0eaIqHqujqT7s1TOtJIPfv9b+4XSemPYnck2FQK0W+0NB8L/tdaEQm3epQJ1pqAVVURRFmbHscSyosbqQF28IuVJThclHu4dSnot6yVxrPXTd/AD7tzcyFsWsesWsq5euPJIzli0oa/1zxXDW2M5XftzM88l2nfutqIsrSJByKRaO4IYhNNaHiQcgO94mV40Ow3BDQSa7VqsydahAVRRFUWYsdz+3DYC+gRFOvfx2r+yT6+IfLHDx+7PXXfd2ytf29L7nd1RcEL6QlSuWcNf5p3PV3x7PXeef7rVPLYc/LMFvmcxmjSe4JzP5CPJF2qIKXfzg6yaVV74pl8FfSSzrVOP+UKgP59by6TcczM6hEee8WlBnCipQFUVRlBlJbyLJ79fZwvmuBXLV6nX0JpJeN6lkgYvfLTEVqwsxt7GO3kSSX/01VxA+nTXeHOOh2phJf81Wv/DrGxzxKgFMtgXV74pvrK9cBngWVN+eTkUN1ImycsUS7j7/9bQ31QPw0vYB3OiLjkkMl1CmFhWoiqIoyoyku2+IQqOdW/bJrdtZmMX/yk6brb94TgMiYmMWC5KkKi0IPxnkFcAfLhHbOcnib9fgiHf7M9c9XrHF2KvZWmSdQYg/9bOgNcb7j+sEYPWjuR5CmsU/c1CBqiiKosxIOtsavAxyF7ecU0MJF7/b3nMfx7Xd2dYwKS1Ex0t+U4HcWl3XeX0kxJzGukl7vt5Ekruf2+7dH05nK7YYu9bevCSpKSiFNVm4IRauJdqND1ZmBiXfKRH58jjmM8aYr05gPYqiKIpSER3xGItaY7yyK0k0EkIEr5yTmyRVmMXvxqC6AtWNWVy1eh11oRCpbHZcLUTHS30kRH04xEgmm2dBdROkFrREJzW2s7tviLpwiHQ2ty+uxbjiHvdFkqQm28o7GSztaObVnXN4vHsXAPOaJncvlaml3E+Ji8cxnwFUoCqKUnN6E8kJtYRUZgbDToLT37/uID78mn2999pLkirI4vfXQHWZjBaiE6EpGmZkMJsXgzpVwq9YOaxKLcaNReqgbg1gDKqfg+Y3eQJ10+4hutb0VJS8ptSecgL1gGlbhaIoyiTStaZnlEVMv5RmHyPpLNv7bTzlaw+alycsG7xC/fnu+1d25ltQXTrisZr9kGmsj7BzMMWgzzI5VcKvIx7jkpXjsxg3R/Nd/IlkykuYCqKLvzeR5HdrN3v3jYFVq9dx8sHt+qN1BlBSoBpjNk7nQhRFUSaD3kSSC7vWMZzOksSKE/1Smp24cZow2tLYWGe/3oZ8FtThdMZry1lpB6XpwHWd90+DBRXGbzFujOYnnk1lItdk4CbADfvKiFUazqDUHo0WVhRlVlEs+1q/lGYneQK1wILX4JRPyks82j3s3S60oNaSpjL1RafKdT4ei3GTY5Xe3j9MbyLpiehwSJgfwPqitU6AUyZGuSSpc5ybvzDGGN/9shhjrp6UlSmKooyDcpndyuxis2PBm9NYR6wunHeuod61oOYEas8uW2JKJFguabd800CRLP7JLtI/EZ7avAeAzbuSnHr57bz7qMUAzG+OEg4FL/mo1glwysQoZ0G9Cpv0dC0w4rtf7lNoABWoiqLUjI54jGP2n8uDL/YBEIuE9EtplrK1jBu80Wt1mhN9bpH+jniU+khwqiw2FSQfJVMZdg7aFq5BcZ33JpJc/4itl2qwTRGuf9jeb2uur+HKylPrBDhl/JT7Cz0deL0xZsR/37kudXl9pU8sIseJyA9E5EkRGRCRl0XkWhFZWjDuDhExRS7XFpkzKiKXicgmERkSkQdE5A0lnv9EEblHRAZFZIuI/JeIjGrCPBVzKooytfhrHf7fp07WBKlZyuYyReIbvSQpv0AdncEfBDwLqiNQe/fkQhGCIlC7+4aIFoh6p7woT2/eM+72sNNBtd29lGBQLknqznL3J4EvACcB1wNrgYXAPwOPisjxxpinfGNfBi4qePyGInNeBbwH+C7wPHAecIuIvM4Yc787SESOAv4CPAH8G7AE+BxwIPDOaZhTUZQpZKvvCz4aCZcZqcxk3BjIRUUEaqx+dB3U4ArU/Oz4rb6i+UFpzdnZ1kC6IHTGJavZ8coUUMskqW8DH/JZaBGR64B1WPF6nm/sTmPML8tNJiLHAx8APmOM+a5z7GpgPXAZcKpv+CXADuA0Y0y/M3YD8GMReb0x5rapmlNRlKnHnzyzeyhFZw3Xokwd5frAuy7+kUyWdCZLJBzipe0DAMydxM5Mk4FrQd28K2mTj8rE1tYKfzxnCBnVoUsTEZXJpuogHBFZICJvF5GPiMg5hZdK5zHG3OcXp86x57AWyGVFnjciIs1lpnwvkAJ+4psvCfwUOFlEFjnztABvBK52haTD1UA/8P4pnlNRlCkkkzVs789ZUBPJdJnRykzGFXLFLKh5LURTGbrW9PDQSzYu+dqHugPlkt64wwrn9Zt2c+rlt/PnJ7cAwXHvu6xcsYS7zj+d733o6FHufk1EVCabigWqiIRE5EdAD/Ab4OfAz4pcxo3YHmQLgO0Fp5YBA0DCiQVdJSKFaz8aeLpAIAI8hE3sOsq5vxxrOX7YP8gRy48580zlnIqiTCE7+ofxeyITyVTtFqNMGdmsKVuKyS3UD9DTN8iqrnW4H4t01lTcf36q6U0k+dMTWwHrKk+msvxunRWoQezO1BGPccayBVy6crnX2z5Wp4mIyuRTjYv/c8AngV8Cf8JaB78AJIB/BXYDF05wPR8G9iE/3vQF4Das678F+CDwdWBf4O994xYBrxSZ020jsdg3zn+8cOxrp3jOPERkV6lzDq1jnFeUaSXoLUTdQuwuakGdnewYGPFiIhe1jrbc+QXqS9sHCBWUQQqKS9pNPkr7YmWzzutqbQhWKIIfzY5XpppqBOq5wB+MMeeIyDzn2CPGmNtE5BfYRKdjsGKyakTkMOAHwD3AL9zjxpiPFQz9uYj8GviEiHzHGPOMc7wBGGY0Sd95/3Wpsf7/6aZiTkWZscyEFqL++FNQC+psZawuRo2+2M3WhnpG0sEs2N7Z1kDG5Ccfufd+v24zpx06P3B/Yy61bA+rzH6qiUE9EPiDc9v9S68DMMYMYN37Hx/PIkRkIfA7YCfwPmNMdoyHfAvrYj/dd2wIKJbuGPOd91+XGutvQzMVc+ZhjJlT7oK1TCtKzelNJLmgax3JVJbEcJpkKhsYN6kffwY/wB61oM5K3Az+WF2IlobRtha/BbWhPsTyfawzKhKSQLmk3eSjWF3I637lEqRQBEWZbqqxoA5hE4bAJv4YoMN3fgtUnywrIq3ALVhX9knGmC0VPKzbuW7zHdtMztXuxz22yTeOMmM3+e5PxZyKMiPp7huCAktPUNykfgq/zNWCOjvZstv+7l/U2oBNX8gnGgkREhvXOTiS8Wqmnvva/fjkaQcF6jPrustvfbKXr//uybyOUkH8G1OU6aAaC+pG4CAAY0wKWxP0Lb7zZwBbq3lyEYkBvwUOAd7hc9ePxYHO9TbfsceAw4pk+p/gXD/uXK8H0sCxBWupxyY9PTbFcyrKjMS2EM0/FhQ3qZ9CC6rGoM5OtngJUsXrhIqIl8n/7NZ+b/x7jukMpNjriMc44/COUe7+IP6NKcp0UI1AvQ04y3f/F8AHReR2EbkDeB/w60onE5EwcB02geh9xpgHioxpEZFokcetwoYZ3Oo7dQM25ODjvrFR4KPAvcaYTQDGmN3O484uEJ5nA83YxgFTOaeizEg64jGWdjQBNr4mSG5SP72jYlBVoM5GNnslpkqLN7eG6J3PWltGPBbh0IXxqV/cOPG7+zU7XtnbqcbF/03gTyISNcYMA5diXfwfATLAFcDFVcz3LeBdWAtqm4h8xHeu3xhzE7ACuEZEfoW12DZja4oeC1xmjHnJfYAx5kERuR643KlP+gI2sWs/8ov+g60ScB9wh4j8BNv16bPALcaYW6dyTkWZyYRC9jdtNBLirvNPD+QXp5vFHwkJ6axhj7r4ZyXlSky5uO1OH3hxBwDH7d9GODQ6HCBIaHa8olgqFqjGmM34yigZYzLAp5zLeDjKuX4no1uBbgRucq7vxbYaXYC1mq4HzjPG/LzInOcAX3Wu52IrC7zNGHNvwWtZIyJnYLtBfQfYA/yY4mWypmJORRlF0Ms3AWxz4juT6SzzmoLRgrEQV7js397E8739akGdpWwuU6TfxRWobgb/8Qe0lRwbJDQ7XlGqEKgi8mWgyxizvsT5VwHvMcZ8pZL5jDGnVTDmJWzoQEU4XZ4+71zGGnsPcFIt5lSUQq596GW+dPN6Ww8xawJZvimdybJjINf8bWAkTUssWHUa/V2kls5v5vnefrWgzkKMMWXbnLr4M/lh5ghURVGqi0G9GDiyzPkjgH+f0GoUZS+kN5HkizetJ5Ux9A9nAlu+acfASF4Sf38ALZP+LlIHOfGyakGdfSSG0ww6me7lLKgNvlqoDXVhjlisfU8UZaZQjUAdixg2k11RlCro7htdJtctLRMkeguy4/uHg/fn7s/gX9ph8xW1zNTsY6u/SH8FLn6Ao/edQ31kMr/yFEWZSsq6+EWkBZjjOzRPRPYtMrQN26a0u8g5RVHKUKyTTBBLy4yuLxo8gequMRoJsc+cRsD2Nk9lstSFVZzMFtz403BIaG8uHQvdUJ/7ilP3vqLMLMaKQf0M8GXntgG+61yKIcD5k7IqRdmL6IjHaG+qZ1v/CCGB+kgwS8sU9rgPsgV1QUssr7tQIpmmram+VstSJhm3pmlHPFo2K9/f7vSQBYXlrBVFCTJjCdQ7nGvBCtXV2Cx2PwbbWeoBY8x9k7o6RdlLSDpZxgtaYtz8zycFTpxCERd/AC2oW33F2+O+BK5EMjXlAnUmVGGYLbgu/nLufYBXdg16tz9z3eMkU9nAJR8qilKcsgLVGHMncCeAiOwH/Lcx5sHpWJii7C0MpzOeuzydNYEVN9v68138/cPBi+10rbwd8RjxWO6/tz1D4xPTlYrOGx/p5sKu9dSFhYwJZhWG2cRm54fIwjIZ/L2JJA+82OfdH07b5MOTD24P7N+Yoig5qqmD+tGpXIii7K3s6M+VbgqiVdKl0IIayBhU1/XbEqW5PoIIGDO+RKmuNT1c2LWOcEjIlhGdvYkkX7hxHemswW2hrkJoaqnEgtrdN0S0LkR6WPvaK8pMpJpOUohIHBuX+iZs4fxzjDH3i0g78I/Ar40xT0/+MhVl9uLW7QQYSmXIZE0gu93MiBjURK42ZigkNNdHSAyn2VOlmO5NJFm1eh3DTugFlBadV979EulsfpJboRDyW2JDW7ewfe0ztB95KO1L92f78xu8+8CMPzcdz9G/oZsVr7xIx0DpslGdbQ1kssFPPlQUpTjVFOqfD9wDHIhtO3og0ABgjNkuIudiM/7/bfKXqSizF78FFYJZAB9gW6FADaQF1XXx28zuloY6EsPpqi2o3X1DRAp+JESKiM7r/9rNf9/14qjH+4VQ15oeLuhaR1jg7Wv+yNf++ENi4QiRTJp7jzmNYx65g1g4Qn1qGBEhFqmfseem6/l/KcJwpJ7wtRn++tzlHPelT496D9y+9qtWr6MuFCKVzQYy+VBRlOJUY0H9GrAQOAF4GegtOH8z8IZJWpei7DVs688XfgPDwROoxhhPoLbEIuxJpgNnQU1nsp412u0u5MahVhuO0NnWkGc9BUimM/mi88a1jGSsha6tsY7dQ2kyxiCCJ4R6E0kuuHEdI5ks8/t3WnGaSUHGCuaTHvqzndy5j4G6kaEZfW66n/+Ir5zP9g+eSfvS/SlE+9orysylmsKA7wB+aIxZg83cL+RFoHNSVqUoexHb+4Nvmdw9lGIkYwXbgfOdAvgBE6g7Bka8LlILWqwFdbwCtSMe49RD2vOONddHmNNQT28iyYVd6zxxCjAwkuGidywD7H+qbzx8AWAtscb577Jz9xbS4aqiqpQKSIcjbF/7TMnzHfEYx+w3V8WposwwqhGo7VjXfimy2G5SiqJUQaGLP2iWSciPPz2w3bYQDZqQ9idxzY+7FlRrid4zjiSp3YP29R2731xCAruGUtzwSA9Pb054Yt2lPhzi4I5mIiEhY/Cyxxe0REk5Qra7dSHhbCbvccV+6c/0c9P9/JFM2otZVRRl9lCNQN0CHFTm/NFY17+iKFVQaEEdGM6UGFk7XPEXEthvniNQJyCkexNJHtm4c1R3qong1kCN1YVocSynOQtqdQJ1aCTD4z27APjEqQfyHid7/3t/eY7L/vA0BY2/SGWzHLowzor95gJw17PbAFj/ym5vzOC8dr74ln9iKFJPItrIUKSeh854j3d/RMKMhCIz+lwtnn/9ly8v6t5XFGVmU42/6ffAx0Tk/wF5Jh8ROQE4h9JdphRFKcEoF38g64ta8TevOUqr06FpvBbUrjU9oxJXytUMrbQWqb8GqohNcHJjeat18T/68k5SGRtPevwBbRy6MM4Nj/SwZU/S62IUFqGxPpyXfHPqwe089FIfdz+3zXmtrwDw2gPn8bk3H0rn505jYOunvGz0E8pkrs/Uc9P9/MepOFWUWUk1AvU/gHcBjwK/wXpdzhWRvwNWApuAyyZ9hYoyyxnt4g+eBXVbIpcd3+yIvvFYUN3yTclUliTWTV6uZmg1YtbfRcqlkhjUYgL4gZesi/7QBXHmNNYzkskSEluE3yUShu984CiOXNLqPe7UQ+bzzT89y4Ydg6zr2c3tz9hc0g8c38kxjnWV+P55Fr/2paPvz4Zz0/n8iqLMPqop1L9FRF4DfB/4W2z707OxQvX3wD8YY/rKTKEo085MaD852sUfrNhO8FsnozRHx+c2B7d8UwjIxXCWKp7uJiMNpysTsxt3DAC2tJRL3LOgFl9rKQH84Is7AHjNgfO8dcfqQgyM5H481IfDzG2sz1vLqxa3Mrexjp2DKVatXkcqY2iqD/OmwxdWvEeKoihKlYX6jTHdwJki0gIcihWpz6swVYKI2wko5HQTumRl8NpPZrKGvoGZkyQ1Px71rJL9w2mMMZ47vRI62xoYKSjfVKp4enff0KhC66XEbNeaHn7z+CYA7nhmG11reli5Yom31mKF+ktZc4/bv41Hu3cBcMIBbd66MwWBp8XWHQ4JJy1t5//WbmadE3/65iMW0lAfLr0piqIoyiiqSZLyMMbsMcb81RjzkCtOReQkEfnL5C5PUcaHvxPQUCpL0unDPZlJOZNBn680kltcPpAC1W0hGo95FtSssZ2vqqEjHvNKMLn8w+sOKmoRjUVCozo0FYrC3kSSW5/cwhduXOvtYyZrvPe6XJJUd98QdaH8/wIjIeH2Z3o9EX28I1Ddou+xuhDxaIRYXahk0fdTD5mfd3/l0cH6UaQoijITqMiCKiLzsBn8fcaY5wvOvQb4CrZIf7bIwxVl2nHFR7ICV3It2TGQc+/vP6+J3sRwIF38XgxqS5TmWO6/jf5kmsb66mp7FhbA3z1U/PX+4YkteffrwpInCq9/uJsLu9aRyZpRZYjc97rFKzM1+jk62xpGlYsaHMnQ02cLwB+yoJl5zbl41kqLvvcXiOEtu4eKjlMURVFKU9aCKiJhEflvYCtwP/CMiNwnIh0i0iIi1wD3AqcD1wDLp3zFilIBnW0NpLKVuZJryfaEde+HBJbMtWsLWn1RyE+SikdzgrTaYv3GGB59eSeQq6f6m8c3kS4QislUhmsezK9a9zfHdXohGq6FPF1EnELuvW5xKg6MpLMMp/OtvR3xGJ854+C8Y1kD1z1sn/fIfeaMmnesou+9iSSX/zG/aPwXb14fOMu9oihK0BnLxf8vwCewGfo3Ao8DrwF+APwR+BvgF8BhxpizjTFPT+FaFaViOuIxvv7uI7z7IV/7ySDhJki1NUW95J6gufiHRjKeEJ0fj42yoFbDxh2D7HBibr/0jsMBuwf3PL89b9zv1m5mx8AIkZDwzlcvBuD53n7vfHff0KhapACN9eE893vc1zK2WCb/q/ZpBWww/UlLbUKUa9G9+fFX6FrTU9XrKxY24FpzFUVRlMoZS6CeDazDCtD3G2NWAD8C3gMsBU42xpxnjHlhitepKFVzhi9z+qjOOYFLkIKcQG1vrqcpahNpBkaCJVD91r+OeJSGujAhJy+q2vqiaxzraTwW4XWHzPeSkFY/+kru+fYk+cHtNpLobcsXccayDgDWv7KHrBNo2jm3YVR8ajQifO+DR3PX+ad773XcJ6aLrbVnpxWOi+c08GVHMLukMqbquOWZYrlXFEUJOmMJ1EOAq40xg75jP3KuLzPG3D81y1KUibPN154zlSnXLLF2bHdqoLY3R2mKTqwA/lThb3M6Px5FRLxEqWqbCjyy0QrUo/edSygkrFyxDwB/WL+Ze57fzlX3vsTJl93Oi9ttyaj95zVy5JI5znOleckpJeUPLXCtppeuPJIzli3Is5L7Lah7hkavtWen/a9tydwG+oczNNTlZ9tXa/2sJplKURRFKc1Y2Q1N2Banftz76yZ/OYoyefjriwbNbe7it6DGo7nyTUHCbXPaEosQcwRcPFbHnmR6HBbUXQAcs68tWv+WIxaxqmsdw2nDeVc+SEH+FFfc/SIfPmE/4rEIiWSadT27OWh+M/e/YOuUzm2o48fnHsu+8xqLisCmemvtzZryFtR95jbQ2dZAYUTreKyflSZTKYqiKKWppMxUoenJvR+8foyK4sNvQa1WSE0XOzyBmrOgDgSsk9Q2x8Xd0ZITWs3jENP9w2me2bIHgBX7zQFgOJ3x/kMpFKdgLZg9u4ZY7sSKru2xtUXvdwrpn7i0nWP3byspAkWkbLH+VxyBumRu46RaP8dKplIURVHKU0l9mLeJiL8NSiNWpL5PRI4qGGuMMd+ZrMUpykTIt6AG8/eU6+Kf53fxB82C6svgd3ETpaoJR3i8exdZAyI2JhjcDk1hBkeKi3LXgrl8SSv3vbCDda/swhjDA44F9TUHzRvzeeOxCLuHUmUtqG4FBbV+KoqiBINKBOqHnEshnyxyzAAqUJVA4LegJlNZUpksdeFx9aaYMoq5+AdGqu/QNJX4u0i5jMeC6safHrog7lk1O9sayBZJx2+KhslkjWfBdEs+rX9lD09tTniVAF57YCUCtQ4YYk+BBXU4nWGrYx12BSpY66cKU0VRlNoylkA9fVpWoShTgF+ggu1xP6exvkarGY0xhh1uklQ8Z0E1xhaMb4pWVwB/qnCtjM3RXAKRa0EtVwe1N5HMs0S6AnXFfnO9Ma5bfdXqddSFQqSyWS54y2EsXzInz4J55BLr4h9KZfjlgxsBK5gPmt805vpz3aTy17p5V9IrVbVkTuOY8yiKoijTR9lvQGPMndO1EEWZbPwufrACJUgCdU8y7XUyam+K5vVr7x9OB0Kgdq3p4UEn3vO6v/ZwzH5ttsf9GBUHutb05InOr515BI9s7ANgaUdz3thK3OpL5jYwt7GOnYMpbnjE1iY98aB5FVmZWxyBWmhBfWWXFd4hgYWtajFVFEUJEsHydyrKJLKtQKAGLbbTL6Db4/V5NTuDsFa3W1MuiSlXF7Sci999XDKVJTGcJpnK8vkb1tLvJH9ddsvTowrgj5VUJCIsd8pNjTjZVJW49wFfklT+Wt0SUwtbYtRH9L9CRVGUIKH/KyuzFreNqEvQety77n2AeU3RPItpENba3TdEuMBC6dYFLZck1d03RKSgm5I/ynQ4na26AD7AkU4mv8trK0iQgpwFtTCLv8eXwa8oiqIECxWoyrjoTSR5ZOPOwPYYz2bNaBd/AESfH3d9LbEI9ZEQjb4i8UEo1t/Z1kAyXbwrkmtBLbannW0NpDJFakb5GE/7z0LR/vCGvooeV9qCmp/BryiKogQHFahK1XSt6eGUy27n7J8+yKmX3151v/LpYNdQalQrzCCIPj9eBr+THR8Kybiy46eK5mgE1/NdHwkV9Lgv3UmqIx7jg8d1evejYaEunG+JrbYAfm8iyTUPvZx37KKb1lf0A6lUktQrviL9iqIoSrCofRaGMqNw4wuHfZa1VavXcfLB7YEqzeO3njbVhxkYyQRC9Pnxtzl1aYqG6R9OMzBS+7WufvQVhtOGurDwP2cfw6sWt3jvcXPUWiVLif45TTYZben8Jq75xGu457nteUlT1RbA7+4boj4cyvvcuVbYseZxLaiFSVL+NqeKoihKsFCBqlRFd98QdaEQSaoXCtOJW2IqJNDZ1sjTWxKBtaDOzxOoEWC45ms1xnD1fbac07uP2ofTD+3IO+/FoA4Xr9n67NYEAEfvaxOfJloAv7OtgVS2eLjBWBSzoI6ks2zZ49ZA1RhURVGUoKEufqUqisUXjqdf+VTjir+2piitDU4MYtAsqI6IntecK33llW+qcbvTB1/q4xlHZJ574v6jzruhCKmMybNqujy9xT720IVx79hE2n9OpA1pS0Ou1alxCp9u2Z3EjQBRC6qiKErwUAuqUhUd8RgXvHUZF//2CQDCIuPuVz6VuBbU9uZc+aZaWyULcbshtY+yoNY+i/+KO18AYPk+LRxRkD0PjCqJFfMleCVTGTZsHwDyBepEGa8V1l2rK6ZjdWF6dln3vggsalWBqiiKEjTUgqpUzXEH5DoBvX5ZBytXLKnhaoqzzdees3kaRV811Q22Oi7mqK8GZ1MAkqR+eveL3PbMNsBaQoslwTX7SmIVCv8XtvV71snJFKgwPitsi09Mu3Gobgb/grjWQFUURQkiNfufWUSOE5EfiMiTIjIgIi+LyLUisrTI2BNF5B4RGRSRLSLyXyIyKnBMRKIicpmIbBKRIRF5QETeUOL5azbnTMffQnSkiHs3CGzzxXf64yWnkq41PZx6+e2cd+VDY1Y36FrT44mkb/7pGW9svMYCtTeR5JJbnvbupzKmaM3S5jJNBZ5x3PtzG+vy4mtrhZskBbk4VC0xpSiKEmxqaTr4ArASuBX4NHAFcBrwqIgscweJyFHAX4AY8G/AT4BPAtcVmfMq4DPAL505s8AtIvJa/6AAzDmj6fUJ1MLM6KDgt6A2lanZOVkU655Uqhh9byLJhV3rvPt+EViJi38qa9C+0NtPtqA8V7GapU31OYFaWL7JjV09ZEG8olakU40/HGHPkGtB1Qx+RVGUIFPLGNRvAx8yxnjtdETkOmAdVrye5xy+BNgBnGaM6XfGbQB+LCKvN8bc5hw7HvgA8BljzHedY1cD64HLgFN9z12zOWcDfguq+4UfNNwSTvPjUZIpm3DUP4ViuprqBt19Q5h8DeiNHcvF37WmhwtuXEsoJGDgkpXLJzXE4pktCQqWVjQJLhySkuW7nnUsqIdNsnt/vDTUhQkJZA109w1y9L5zvRqomsGvKIoSTGpmQTXG3OcXp86x54AngGUAItICvBG42hV9DlcD/cD7fcfeC6Swlkt3viTwU+BkEVkUkDlnPL17cpa7QutZUMglSUWnpfh9Z1sDIwXVDUYyxasb9OwcHDXWFYHxMuEIruV1JGNIprIkx9kytByrH30FsOW5xsqWby5RrN918R8SEIG6+tFXvJjYz17/eF54hRbpVxRFCSaByuIX6w9cADzuHFqOXePD/nHGmBEReQw42nf4aODpAoEI8BAgwFHA5gDMWfiad5U65zA6hbrGBN3Fn8ka+gZyLn63o9RkZfH3JpKjMsk74jFOP3Q+f3hiqzfuxIPmjRJ2T27azZduWg/YDPLm+khe4fqmepsNX8zF3903RDiU7zKPhGTSatA+1r2Lx3t2A/DfZx/DvKZo2Wz55miErQU1W/ckU2zabQXzoQtqL1Dd0AuXVMZwQdc6Uk7sdHM0XOqhiqIoSg0JlEAFPgzsA1zk3F/kXG8uMnYz4I8DXQS8UmIcwOKAzDnj8QvUZCrLcDpDNBKcL/q+gRHPYtbeHPWsvJMRg9q1podVq9cRCYVIO8Jy5YolGGN4yrEcxqNhEsMZ1vbsZiSd9bLEr3+4m/NvXOu59z/9+oM55ZD5eSIwF4M6ug5qsRq0gyOZSatBe/V9GwA4fFELb1y2YMz40ebY6PqyrnsfgmFBLRZ64U/s+9z1a0llTCArUSiKouzNBKa+iogcBvwAuAf4hXPY/eYdLvKQpO+8O7bUOP9ctZ4zD2PMnHIXYHepx9aKQpdy0Nz8/hjZ+fGo5zYfcLoejZfeRJJVXTYRqr8gEeqhl/rYuMMm3vzgw8cQDgk7Bkb44xNbvMde0LUuL/b0v+96YZSF0g1HSBSxTHfEY7zr1YvzjmUN3Pvcdi9pavvzG3i6649sf34DQN79cueeW/sc3b/7C/P7d3LuiftVlNzkVRzwvf9ugtTi1hgtvuz5WlGsA5Wf4SkIk1AURVEmTiAsqCKyEPgdsBN4nzHG/UZxU4eL1aqJ+c67Y0uN889V6zlnNMYYevfk6/BEMp1XbL7WuF2kIiFhTkOdJ/qyBoZSGRrrq//Y9yaS/G7tZlKZfIErYl3s1z9iy0S9ekkrpx4ynzcc1sGfntzK/z64kXe+ejFX3vMSmRLZ8XkC1RXTI5miLUTb43afl+/TQn04zCMv7+Qzv36cxvowb3vkD3ztjz8kFo4QyaR58PjX8+qHbiMWjlCfGkZEiEXqi55rFeFnkXrC2QyPt38DjvvMmHtSLLb32SIdpGqJ24Fq1ep11pKazpDOmLxEsCC26lUURdnbqblAFZFW4BZsrOVJxpgtvtOuy3zRqAfaY5sKxpYah29sreec0SSG06NaWwYtk3+br4VoKCSe2xysta9agdq1pscmJ6WzozLch0YyhAV+v85+BN57bCcAH37Nfvzpya088GIfX/u/J7nynpdGzVssO95dayab63rkZ9Mua+lbtqiFDxzXycof3W8f17fditNMCjL2/Tjh/j/aBzn3MVA3MjTmuVd//QK2f+Qs2pfuX3Zfmot06Ho6YAlSkN+BqqE+xFk/uC/vMxzEVr2Koih7OzV18YtIDPgtcAjwDmPMMwVD1gNp4NiCx9VjE5Qe8x1+DDhMRJoL5jjBuXYTr2o954ym0HoKwUuU8or0O9ZGfx3MauNQXbf+cIE4bazPCce/vephBkcy1IWFdx1pXfCnLG2nrdG6uH9yz0tkgdZYmGikfC95f4emYqETm3ZZEbl4TgMG8bpQde7eQjo8Ob830+EI29cW/imOprmgvqwxhmcdF38QEqT8uB2oDl/UyqUrlxOrK/8+KIqiKLWlZhZUEQlji9i/FjjTGPNA4RhjzG4RuRU4W0Qu8WXTnw00A9f7ht8AfA74OPBd5zmiwEeBe40xmwIy54zGjdVzM9ATw2n2DAUrBnW7r8QUlG/LORbdfUO25qiPpvowF739cLLG8MWb1tM3aKulZbKGvzy9lZUrlrB9YJg9Bc+VTBtW/9OJDI1kS2bH+9c6MJz2RLaLX6B2tjXgRgB0ty4knM1PrDLYUhPFKHcukknTfuShJc7miBdYULf1D7Nz0P5YKVx3kPBbVMtVKVAURVFqRy0tqN8C3oV177eJyEd8l3f7xl0EzAfuEJG/F5GvAd8HbjHG3OoOMsY8iBWClzutST8B3Abshy38TxDmnOl47vOmeuY21QPFE3pqib/NKVhrpyvkqq2FWixzPmMMZxzewZtetYCwL0Y0a/ASbrr7hojW5f951YdDDI1ky/aSzwtHKFhrKpNlq1ODdp85DV58ZawuRHLefL74ln9iKFJPItrIUKSeh854j3d/RMKMhCIVnVv/5cvHdO/D6BjUn96dC2P4+M8fLtvqtda4FlUVp4qiKMGkljGoRznX73QufjYCNwEYY9aIyBnYzk3fAfYAPwYuLDLnOcBXneu5wFrgbcaYe/2DAjDnjMV18c+Pxwg7+itoLv7tBS5+EaE5GiGRTFddccDNnL9xzSuIQDSScwk/snEnDfXhPCHpJtx0tjWMSoqqJNaxyRc6UChQt+5JeuWzFs+x8+RZAz/3Oga2forta5+h/chDOWHp/jZ737kPVHTuuArEKfgL9afpTST5qS/O1s2OP/ngdhWBiqIoStXUTKAaY06rYuw9wEkVjEsCn3cugZ1zJuO6+OfHo16x86C5+LcVuPjBlkRKJNNle9yXYlGrFYPLFsa56m+P9wRXZ1sD6WzxjlCF2eP+YvzliIRDNNSFGUplRq3VTZCya8rN0xGP5eaN759n/WxfOvp+JecqIVcSK80Lvf0VVSlQFEVRlEqoeRa/MrNwi/R3xKOeaz94FlQbE+qPg2yORWD3+Nqdum71pR3xPLE1lggdb6xjUzTCUGp0j3s3/rS9uX5Udn8tiPtanT7es2tUhQPNjlcURVHGiwpUpSpcF39HPOol2QSpUH8qk6VvwArUunAuPrSpSM3OStnqiPIFLaMTf8YSoXnWzQppjobZ3j96ra/4EqSCQHPUVilIprJc82A3AGERGuvDFVuMFUVRFKUYKlCVqnATkDriUa+WZJDqoP7i/o3e7U9d+xjfWJlh5Yolee7oaul1LKgLWoqLrfGI0HI0+zpf+fEy+FuDIlBz/3283Ge7aP3qEycQDoU0O15RFEWZECpQlapwxVpHS4xdQ8Fy8fcmklx6y1Pe/RFfoo7fHV0tW32veTpoqnfXml82alPALKj++rIAbzx8AccfMK9Gq1EURVFmEzUt1K/MLJKpjFfbsyMe9XqtByVJal3PbtKZ4ok6zUX6xlfCcDrj1fZcOE0CtdRa3SSpxXOCYZm845nevPuHBah7lKIoijKzUYGqVIybHQ/Wrd3SYAXqVNVB7U0keWTjTnoTybzbxchmDT+5+6WSiTpuvGS1Maj+zlnFYlCngrFc/PsEwILam0jy9d89lXfsx3e/WPL9URRFUZRqUBe/UjF+8TE/HqXFEVKFHZOqnbNYgtH1D3ezavU6QiKkMllCIsTqQqSzhkvOWs7KFUvy5vjh7c9z/4s7AJscFYvkJ+r4a3aO9zVPV0yll9A1klvrnmTKaykaBBd/d98QdeEQSV9Pey0rpSiKokwWKlCVinGtifFohIb6MPFYziqZzmSJhKszyHet6ckr0XTBWw5j+ZI5vNI3yPk3rHWsofbfrDFeTKa/AHzXmh4uuHEdI063p+P3b+P7Hz56lOiNjzOLf6vzmlti9jVPB8Vc/K71FIIhUDvbGkiVqAGrKIqiKBNFBapSMW4N1PmOq7ulIb8t55zG+irmSnJh1zqG01mSWKFz8W+fpC4kpLKFjvp8Io6lDmBVV06cAjzeswuAY/abm/eYpnHGoG4dI4N/KnAFqt/F7wrU+kiIeU2V7/NUMd5GBIqiKIpSCSpQlYpx3d0dTgF8N0kKbPmmagRqd9/QqM5DwJjiFGAolaGzrYHuviEKh9eHi7uZx+vidy2o0ylQi9VsfcVNkGqNEQpJ0cdNN+NtRKAoiqIoY6ECVamYXJF+K0TcJCmA3UMpOquYa8vuIdJlxGg0LBiEaCTEUCqNiCCItZYaQ3IkSyqTzbOeQmk3c3ycdVBzZbWmJ0EKbKF+gIGR0RbUILj3/Ux2DVhFURRFARWoShX4i/RDfqH2amqhpjJZvnPrcwCIQGNdmIGR/JqfEhJW/+OJDI3kBOfzW/v5zHWPsTUxzBdvXseW3VY8CtbqmC7jZnYtqMPpLCPpLPWRyuJltyZq4eJ3YnuLxKAGTaAqiqIoylSgAlWpGM+C6lgTwyEhHo2QGE5XXAvVzbh/vrefkMDP//Z4GusjrOvZxTf+8HRePOPhi1rzHtsRj/HFdxzOv/zqUe56drt3/JzX7su7jlpS1s3sF9MDw2nqI5WFI7gieEF8+iyoTa4F1VeoXwWqoiiKsjehAlWpGDdJyi8CWxrqSAynK6qF2rWmx0uMAnjNgfM45eD5gE1qetuRi8aMZzzhgDZEwPiiA657uId/ev3BZV3NfoHaP5xmboWJRr01iEF11zqSydKzc5Alcxu9Iv37BKRIv6IoiqJMJVqoX6mIdCbLjoF8Fz/k2l2OVQu1N5Fk1eqcOAVGFd7viMc4Zr+5ZYVm984hGuryyz3V+bL6S+Fvy1lpotTAcNqrPTpdbU4Br54rwBu+dSfXP9zNlj1uFym1oCqKoiizH7WgKiXxF9E3BtoTO+ncvYXYjgNgaTuAr91peQtqd98QIcnPPi+VcV+OzrYGsiY/uaqS+ptN0eoFam9i+rtI9SaSfP+25737w+ksX7xpvVfxQAWqoiiKsjegAlUpSteaHlZ1rSMUEtJZw79ufoC7rv4GqVCEumsv4q9fvpzjvvRprxbqWElSnXMbGErlJ0KNp7D7eOtv1oVDRCMhhtPZimuhujVQwXbOmg7cDk1+S7Nf1y9uVYGqKIqizH5UoCqjcN3xbhvL+f07+ejV36AhPUIDIwAc8ZXz2f7BMz0L6ljlm/66YacXN9pQF8Zgxl3Yfbz1N+OxCMP9I57bfixcgdrWVE80Mj1dpDrbGkgXdGhKpuz9eCxCYjg1bR2tFEVRFKVWaAzqXk5vIjkqFrS7b4iwz2zXuXsLqVD+b5l0OML2tc94tVDLufi7+wa5+LfrATjl4HZ++fETuOv801m5Ysm4111JvGohxVqIlqMWCVKuhThWF6KxQIgODKc59fLb6VrTM23rURRFUZRaoBbUWYo/frRQxLnnipV2WrnClmvyu5i7WxdSl80XdZFMmvYjDyX+ohVxpVz8XWt6OP+GtV5R/pOXto9qQzpd5LpJVVazNdfmdPpKTEG+hXjTzkH+5drHAMgaa01dtXodJx/crgXyFUVRlFmLCtRZyA0Pd3Ph6nVEQiGMMVzw1sNYvmQOnW0N3PnMNi5avQ6AkYwVjUmsGHWFT3tTlOZohF1DKerDQmLuPH77D1/mnT/6CulwhEgmzfovX85xS/enZdOLAEXroPYmklzYtS6vY9R3bn2Ws1bsUxNx5VlQhzNjjLRsdZKkFtRgrf4OTU31+Y0M3KoFKlAVRVGU2YoK1FlGbyLJBY4oTGWsqLn4t08Sqwsxks6O6l3vxxU+z23tZ5fjsv/W+1/NCQfOoyP+VrZ/6sNsX/sM7UceynFL9wfwkqQSRayS3X1DFCTu11RcFevQVI5aWVD9dLY1kBlH1QJFURRFmcloDOos46lNe4r2uE+myotTgOF0hs62Bq5/uBuAY/ebyztfnbN2ti/dn8NWvpl2R5yCv8zUaNHX2dZAKhMccRWv0sXf6wjU6ayBWog/JjUejRCrC407uUxRFEVRZgpqQZ1l3PrU1qofExIb39jaUEdYhFvWbwHgvceMncQU97L4U2SzhlAoZzLtiMc4bEGcJzbvoS4shENSU3HlthCtpA6qMYatNUiSKsZ4qxYoiqIoykxFBeosYvPuIX79sM3wjoSEaCSUF7toj0M4FKI+bBOjLnjLYbQ01PG56x9nW/8IH/rJAwyns0QjwtuPXDTmc7ou/qyBgZG0J1hd+kesGDz7Nfvx96cdVFNx5br4xyqJBZAYTnt1W2vp4nfxx6QqiqIoymxHBeosoTeR5Es3rWc4nWV+PMoNf/9atvePFM3UL2aNW9uzm6vu28AzW/oBSGcMf35y65iloFp8gjSRzBeoQyMZXu4bBOANyxbUXGDlXPxjC9ReX5H+WltQFUVRFGVvQwXqLKBrTQ8XdK1jxCkNderB7ew3r4n95jVxzH5zeduRi0YJ0kKxePZr9+Oq+zZ49zOGisoZuXVQwZaaWkwuvvSFbf1ecf6DFzRP9GVOmGrqoG7Zbd37IYF5TfVTui5FURRFUfLRJKkZTm8iySqfOAX43drNeYX3Kylqv2swRawu/+PgZtyXw7VKwuhEqWe3JgCY01jH/Obau8lzZabGFqhuBn97c5RIWP9MFEVRFGU6UQvqDKe7b4jC5Py6cPWlnIpl1leScV8XDtFQF2YolRnVTerZrTZc4JCOOFJYb6oGuIX6dw+l6E0kCW3d4pXNal+6P9uf3+Dd3/JsNyteeYrowQfVeNWKoiiKsvehAnWG07snmdf1CcZXysktZ7Rq9bq8eNVKRG5LQ4ShVGZULdTnHAtqENz7AI+9vBOAwZEMl33gAr7+xx8ScxoP/OXIUzhp7d3EwhHqU8N8QoRzI/WEsxn+Kpdz3Jc+XePVK4qiKMregwrUGcy6nl184ca1AAjQFI2QrkJYFjLeckYtsTq27hke7eLvtQL1kAXxqtcy2fQmkvz03g0AzO/facVpJgUZK6rf8OhtdqBzHwN1Iza84YivnM/2D56ZV/9VURRFUZSpQwXqDOW6v77MBV3rvCSkT73hYE49ZP6E62SOp5yRG4fqd/EPjqS9+NUgWFC7+4aIhm03rc7dW0iHIzkxOgbpcMS6/lWgKoqiKMq0oNkfM5DeRJKLblqPvwPm/9z1Qs2KuLuZ/HuSOcH3fG+/dzsIFtTOtgZSWRsK0d26kHA2vz5suSZbkUya9iMPncLVKYqiKIriRwXqDKS7b4iC9uwVZdxPFS2x0QXw3QSptqZ62gOQwe9vGZqcN58vvuWfGIrUk4g2MhSp56Ez3uPdH5EwI6GId279ly9X66miKIqiTCPq4p+BLGyJkckGp8e9203Kb0H1EqQ6au/ed8mLsf3c6xjY+ikva/+Egix+wLt9nIpTRVEURZlWVKDOQLp3Dnq3m6JhMllT0x73bvcof5KUWwM1CO59P3kxtvH98yyj7UtH31cURVEUZfpRgToDufPZbYC1Tn7jPUfWLPbUxXXxb949RG8iSUc8lquBGoAEKUVRFEVRZhY1jUEVkUUi8g0RuV1EEiJiROS0IuM2OOcKL98oMnaOiFwhIttEZEBEbhORo0o8/7tEZI2IJEXkZRH5dxEZJdqnYs6JcJcjUN+wbMGYHaKmgxe2WWvpi9sHOPXy2/nVgy/zyi4bDxs0C6qiKIqiKMGn1hbUQ4EvAM8Da4ETy4x9BPhuwbH1/jsiEgJ+BywHvgnsAP4RuENEjjHGvOAb+1bgJuA24F+cx3wZaHfuT9mcE2FbYpgnNu0B4NRD2idjygnRm0hy82ObADAGkqks//6bJ7zzKlAVRVEURamWWgvUR4B2Y8wOEXk3sLrM2B5jzC/HmO+9WJF7ljHmJgAR+TXwLPDvwDm+sd8EHgXebIzJOGP3ABeKyPeMMc9N4Zzj5u7nrPW0sT7Msfu1TXS6CdPdN0R9JEQqkyvblDW2nFNbYz1zm+prtTRFURRFUWYoNXXxG2MSxpgdlY4XkaiINJYZ8l5gE3Cz7zm2Ab8G3i0idc48hwOHA//jCkmHH2L35D1TPOe4ceNPTzxoHvWR2lcJ62xrGFVRwO28umtohK41PTVYlaIoiqIoM5naK5zKeRMwAAyIyAsi8okiY44GHjGmsEooDwFxYKlvHMDD/kHGmE1Aj+/8VM3pISK7yl2AVndsNmu4+7ntALzukPnFppt2/PVFG+ryP05ZA6tWr6M3kazR6hRFURRFmYnMFIG6FutOfw/wd8B24H9E5IKCcYuAzUUe7x5b7BtHmbGLffenYs5xcfdz2+gbGAHg1IAIVLD1Re86/3S+9I5X0VgfzjtXywYCiqIoiqLMTGaEQDXGvMsY85/GmJuNMT/BxoQ+AHxJRFp9QxuA4SJTJH3n/delxvor3k/FnB7GmDnlLsDuTNZw1b0v8bGfW+OsAI9s3FlsuprREY9xxuEdZE1wGggoiqIoijIzmRECtRAnxvO7QCPwWt+pIaBYX82Y77z/utRYv8lvKuasisGRDBf/9knSTqynIZiuc7+7Px6NEKsL1bSBgKIoiqIoM5NaZ/FPhG7n2p/Kvpmcq92Pe2yTb5x7vNAlvwi4b4rnrIrC4FfIuc6DJv7y2onWuIGAoiiKoigzkxlpQXU40Lne5jv2GHCMiEjB2BOAfmy9VXccwLH+QSKyGFjiOz9Vc06YILvOO+KxQDQQUBRFURRlZhJ4gSoibU6xfP+xGPB5IAHc7zt1AzYZ6Uzf2HbgfcDNxpgUgDHmCeBp4BMi4s/q+QcgC9w4xXOOm6ZoWF3niqIoiqLMamru4heRLzo3lznXZ4vIycAuY8z3gXcBF4nIDcAGYB5wLnAI8A/GmH7fdDdgk6euFpFvYrP9/xErxC8ueOrPA78B/igi1wFHAP+MrWP67BTPWRUCxOpCXPCWw1i+ZI66zhVFURRFmdXI6PKe07wAkVIL2GiM2V9EjsEKwaOB+dgs+TXAN40x/1dkvrnAfwLvxmbOPwR81hizpsjYd2PLVy3DhgpcCXzVGJOe6jkrRUR2NcdbWl94ZauKUkVRFEVRAs2cOXPYvXv3bqcS0bipuUBVyiMiu1pbW1t37dpV66UoiqIoiqKUZbIEauBjUBVFURRFUZS9CxWoiqIoiqIoSqBQgaooiqIoiqIEChWoiqIoiqIoSqBQgaooiqIoiqIEChWoiqIoiqIoSqDQMlMBR0SygLS2ttZ6KYqiKIqiKGXZvXs3gDHGTMgIqgI14PgaGeyu6ULGxlXQQV9ns3PdX3ZU7dH9nFx0PyeXmbKfoHs62eh+Ti6zcT9bgKwxZkLdSmve6lQZkzsBjDGn1XgdZRGRXQATLcw71YjIHaD7OVnofk4uup+Tj+7p5KL7ObnofpZGY1AVRVEURVGUQKECVVEURVEURQkUKlAVRVEURVGUQKECVVEURVEURQkUmsWvTAozJSB9pqD7Obnofk4uup+Tj+7p5KL7OblokpSiKIqiKIqy16MCVVEURVEURQkU6uJXFEVRFEVRAoVaUBVFURRFUZRAoQJVURRFURRFCRQqUBVFURRFUZRAoQJVURRFURRFCRQqUBVFURRFUZRAoQJ1L0dEFonIN0TkdhFJiIgRkdOKjGsVkR+IyGYRSYrI4yLyoRJzniMia51xm0XkeyLSXDDmQBG5VkSeF5EBEdkhIneJyNun5pVODzXcz/2d5yp2ecvUvNqpp4b7eXGZ/TQictLUvOKppVb76YxbJiI3icguEekXkb+IyDGT/yqnDxE5ztmnJ53/x152/l9bWmTsiSJyj4gMisgWEfkvEWksMi4qIpeJyCYRGRKRB0TkDUXG/Y2I/FJEnnXexzum6GVOGzXez6+LyF/FfhcNichTIvLvItI0Va93qqnxft5R4v/Oaytdf6T6l6zMMg4FvgA8D6wFTiwcICIR4M/Aq4HvO2PfDPyviESMMVf7xn4a+K4z/r+BJcCngVeJyBkmV9dsMTAP+F+gB2gAVgL/JyIfM8ZcOfkvdVqo1X66/BL4Y8Gxxyf+smpGrfazy5mnkEuAZuCvk/HiakBN9lNE9gfuBZLA5cAA8FHgDhE5wRjz5FS82GngC8BJwPXY/VwI/DPwqIgcb4x5CkBEjgL+AjwB/Bt2nz4HHAi8s2DOq4D3YPf1eeA84BYReZ0x5n7fuH8AjgEexv5fOhuo5X4eAzwA/AIYwn7+LwROF5HTi/xfOxOo5X4CvAxcVHBsQ8WrN8boZS++AHFgnnP73YABTisY8zfO8XMKjt8AbAXqnftRYJfzQRffuHc4j3/3GGsJAY8C62u9LzNtP4H9nWP/Wus9mA37WWItnUAWuKLW+zLT9hP4ETAMLPUda8R+gd1U632ZwH6e6O6H79jBWCF+le/Y77E/xJt9xz7u7NPrfceOL/w7BmJYIXBXkc9j2Ln9GHBHrfdjJu9nifX8m/P4Y2u9NzNtP4E7gMcmsn518e/lGGMSxpgdYww7Cfuh/HXB8WuBDuB05/6rgFbgOuN8Qp3n+D+gH/vFV24tWewfyZxK1x80grCfItIkIvXjWH7gCMJ++vggIFir/4ykhvt5EvCIMeZ537hB4DfAW0UkPo6XU3OMMfcZY0YKjj2HtUQtAxCRFuCNwNXGmH7f0Kux+/R+37H3AingJ775ksBPgZNFZJHveLcxJjO5r6i21HI/S7DRuZ5T9YsJAEHYTxGJFAv5qQQVqEolRIE0MFJwfNC5XuEbB9Y9UsiQb5yHiDSKSLuIHCQi/wq8FWuRmc1M2X4CX8X+p5IUkftF5NQJrnUmMJX76efDQDdw1zjWOJOYiv2Mlhg3CNQDR4xrpQFERARYAGx3Di3HhtM97B/nCIfHgKN9h48Gni4QCgAPYX8cHTX5Kw4207mfIhJ2vo8Wi8ibgK8BuwufayYzzZ/PZdhwnoQTs7pKRCrWnSpQlUp4BqjDmvf9nOJcL3aun8NaXvISSETkUGC+b5yfrwDbsC6Cb2Fj/z49KasOLlOxn1ls7OnngHc51/sBt4rIKcxupvLz6Y55FXAk8Cu/tXCWMhX7+QxwVJGEk5ML5pwNfBjYh5wF2rUqbS4ydjP5r31RmXEwu/apUqZzP5dhv49ewf5/KsCZxphdVa86uEzXfr4AfB34ADZOda1z/4eVLlSTpJRKuAb4MnCViPwzVky+CfhH53wDgDFmu4j8GviYiDwD3Iz9Q/h/WLdAQ5G5/wf4A/aD/17sZzJaZNxsYtL30xjzMpCXre9kSz4JfIMCETHLmMrPp8uHnesZ696vgqnYzx9hky2uFZEvY60q/wgc659zpiMihwE/AO7BJttA7rUNF3lIkvzX3lBmHMySfaqUGuznS1h3dxPwGuf2jAw/KcZ07qcx5mMFY37u/H/xCRH5jjHmmbHWqxZUZUyMMVuwVrkGbLbuS8B/Av/iDPGb+z+JDbj+NvYX1F3AOuC3BePcuZ8zxtxqjPmFMeZMbMD1bx03xKxkKvez4Hk2Ab8CXlOsXMhsYar30/ksfgibvLd2Cl5CoJiK/TTG3OI8/nRgDdai+nZyGb5lP8szARFZCPwO2Am8z4mph1xoQ7Ef3jHyQx+GyoyD4mESs5Ja7KcxZsD5PrrZGHMhtuLEzSLy6nG+jMAQkM/nt7BW6dPHGAeoBVWpEGPMXSJyIDZepQlbusjv6nPH7QbOFJF9sZnlG40xG0XkPv+4MtyADbg+BPslNiuZxv3sxv4QnUMuhnDWMcX7eRI2XOLCKVp+4JiK/TTGfF9EfoYNlXDj2z5WOOdMRERagVuwSWMnOSLfxXV/FkvIWQRsKhhbahwFY2ctAdrPm7DhUx9gBpfrC9B+djvXbWOMA9SCqlSBMSZjjHnMGHOvEyR9hnPqtiJjXzbG3OV8Wc3B1pirJPnJdRG0TsqiA8w07eeBQAb7q3lWM4X7+WFsrOU1U7HuoDIV++lYqO43xjziZKCfgf3Se2rqXsnUIiIxrMX4EOAdRVyX67FJZ8cWPK4em1TymO/wY8BhRbKeT3CuZ6xIqpSA7Wc9EGYGfx8FbD8PdK63VbB0FajK+BCR+dgiwH80TrHfMlyK/RX6PwWPL5wzApyLjWeZqYW7x8UU7edSbGmku4wxe41rECa+n7556oD3Afc4cb57JZO1nwVznohtzvE9n7txRiEiYeA64LVYt+kDhWMcK/OtwNkFX+xnY5s+XO87dgM2Qe3jvueIYpsa3OuE7cxaarWfItLiHC/kY1iX9CMTeV21Ikj76axlFfb/hlsrWb+6+BVE5IvOzWXO9dkicjKwyxjzfWfMPdjA6uex3Sg+if2B88mCuS5y5nkQ+6vs3dgEi08aY17yDb3cEVC3Yc3+C7CWqmXA+UXKWMwYarifB2KtVpuBg4C/d859bjJf33RTo/10eTO5jmezglrsp4gchLVA/wbYgi0r9UlszOq3J/1FTh/fwsbr/hZoE5GP+M71G2Nucm5fBNyH7Zz1E2ynns8CtxhjvC9rY8yDInI99u95ETau91xsiMl5/icWW0LOLSO3AGj1vbe/maHx0rXazxXAr0TkOuBZrDY6GZu4uwbboW8mUsv9vEZEfoX9P6QZW0/1WOCyEv/XjsYEoNuBXmp7wbovi102+Mb8F/AiNoNvCzZOdHGRud6JrYmWcC53Am8pMu5MbPb+Zmw82k6suDqr1vsxQ/fzg865bdgM6l5sGZFX1Xo/ZuJ++sb/yvl8ttV6H2byfmJF/s3OXMPYmNN/B2K13o8J7uUdleynM/ZkbLvXIWxHru8BTUXmjGGT0jZjvUkPAWcUGXdxmec+r9Z7M5P2EyvIfup8LgeccU9g60o3T9XrncX7eQDW8rrBmW8A+yP23GrWL85kiqIoiqIoihIINAZVURRFURRFCRQqUBVFURRFUZRAoQJVURRFURRFCRQqUBVFURRFUZRAoQJVURRFURRFCRQqUBVFURRFUZRAoQJVURRFURRFCRQqUBVFUWYZInKViGiRa0VRZiza6lRRFCXgVCk2D5iyhSiKokwT2klKURQl4BT00AY4BfgEcAVwd8G51dj2rGFjTHIalqcoijLpqAVVURQl4Bhjfum/LyIRrEC9v/Ccj9SUL0xRFGWK0BhURVGUWUaxGFT3mIjMc25vF5GEiNwkIgudMZ8QkadEJCkiT4vImSXm/xsRucd5/KCIPCgi752O16Yoyt6BClRFUZS9iz8ArcCXgR8D7wBWi8jngc8DPwcuAOqBG0QkL6ZVRL4GXAskgC85YweB60Xkn6brRSiKMrtRF7+iKMrexUPGGE9IigjAZ4B9gCOMMXuc47cBj2NDCS50jq0ALgIuNcas8s35PRG5CbhURK42xiSm44UoijJ7UQuqoijK3sV3C+67SVZXu+IUwBizFtgDHOwb+2HAAD8XkXb/BfgNEAdeO2UrVxRlr0EtqIqiKHsXLxbc3+lcv1Rk7E5gnu/+MkCAp8vMv2D8S1MURbGoQFUURdmLMMZkSpwqdVwKbhvgrWXGPzHOpSmKonioQFUURVEq5TngLcDLxpinar0YRVFmLxqDqiiKolTKL5zrS0QkXHhSRNS9ryjKpKAWVEVRFKUijDF/FZGLgYuBx0TkemATsAg4BngbtjyVoijKhFCBqiiKolSMMeY/RORh4FPAvwJNQC+w3jmmKIoyYcQYM/YoRVEURVEURZkmNAZVURRFURRFCRQqUBVFURRFUZRAoQJVURRFURRFCRQqUBVFURRFUZRAoQJVURRFURRFCRQqUBVFURRFUZRAoQJVURRFURRFCRQqUBVFURRFUZRAoQJVURRFURRFCRT/H2SSotpRVl+kAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply the forward fill method\n",
    "df_imputed = df.fillna(method=\"ffill\")\n",
    "\n",
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Retail Sales with imputed data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We now compare this with the backfill method. This method is also known as \"next observation carried backwards\"."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Backward fill method (aka. next observation carried backwards)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Time')"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 720x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Apply the backfill method\n",
    "df_imputed = df.fillna(method=\"bfill\")\n",
    "\n",
    "# Plot the imputed time series\n",
    "ax = df_imputed.plot(linestyle=\"-\", marker=\".\", figsize=[10, 5])\n",
    "df_imputed[df.isnull()].plot(ax=ax, legend=None, marker=\".\", color=\"r\")\n",
    "\n",
    "ax.set_title(\"Retail Sales with imputed data\")\n",
    "ax.set_ylabel(\"Retail Sales\")\n",
    "ax.set_xlabel(\"Time\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The above figures show that these methods can distort important structures of the time series (e.g., the shape of a seasonal component) depending on how large the gaps of missing data are. If these gaps are small then the distortions are small, if the gaps are large then the distortions are also large. A gap is small or large relative to structures found in the time series (i.e., the lengths of the seasonal period or steepness of a trend line)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The distortions to the time series created by data imputation can negatively impact the fitting of a model. If the proportion of missing data is small then the impact of these distortions on the fitting of a model should be less and may be tolerable depending on the use case."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "One minor advantage of forward filling over backward filling is that it does not leak any data from the future to the imputed data points.  The impact of this depends on how much data has been imputed and may not make a noticeable difference if the size of the missing value gaps is small."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If a dataset has missing data with small gap sizes then forward filling would be a sufficient method to impute missing data without distorting the time series too heavily and ensuring no data leakage is occurring. "
   ]
  }
 ],
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